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532145132414550 = 2325279710631395809
BaseRepresentation
bin111100011111110111011000…
…1100101100010011001010110
32120210011120121020100210210200
41320333232301211202121112
51024222131212344231200
65123440033213201330
7220042134313254204
oct17077566145423126
92523146536323720
10532145132414550
11144615535286866
124b825360190246
1319ac10bc33a675
149559d673b4074
15417c4b1c86800
hex1e3fbb1962656

532145132414550 has 144 divisors (see below), whose sum is σ = 1432838114678880. Its totient is φ = 141593890129920.

The previous prime is 532145132414549. The next prime is 532145132414557. The reversal of 532145132414550 is 55414231541235.

532145132414550 is a `hidden beast` number, since 5 + 3 + 2 + 1 + 4 + 51 + 3 + 2 + 41 + 4 + 550 = 666.

It is a super-2 number, since 2×5321451324145502 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 532145132414496 and 532145132414505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532145132414557) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 380547046 + ... + 381942854.

It is an arithmetic number, because the mean of its divisors is an integer number (9950264685270).

Almost surely, 2532145132414550 is an apocalyptic number.

532145132414550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 532145132414550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716419057339440).

532145132414550 is an abundant number, since it is smaller than the sum of its proper divisors (900692982264330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

532145132414550 is a wasteful number, since it uses less digits than its factorization.

532145132414550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397687 (or 1397679 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 532145132414550 its reverse (55414231541235), we get a palindrome (587559363955785).

The spelling of 532145132414550 in words is "five hundred thirty-two trillion, one hundred forty-five billion, one hundred thirty-two million, four hundred fourteen thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 797 1063 1594 2126 2391 3189 3985 4782 5315 6378 7173 7970 9567 10630 11955 14346 15945 19134 19925 23910 26575 31890 35865 39850 47835 53150 59775 71730 79725 95670 119550 159450 179325 239175 358650 478350 847211 1395809 1694422 2541633 2791618 4187427 4236055 5083266 6979045 7624899 8374854 8472110 12562281 12708165 13958090 15249798 20937135 21180275 25124562 25416330 34895225 38124495 41874270 42360550 62811405 63540825 69790450 76248990 104685675 125622810 127081650 190622475 209371350 314057025 381244950 628114050 1112459773 1483744967 2224919546 2967489934 3337379319 4451234901 5562298865 6674758638 7418724835 8902469802 10012137957 11124597730 13353704703 14837449670 16686896595 20024275914 22256174505 26707409406 27811494325 33373793190 37093624175 44512349010 50060689785 55622988650 66768523515 74187248350 83434482975 100121379570 111280872525 133537047030 166868965950 222561745050 250303448925 333842617575 500606897850 667685235150 1182544738699 2365089477398 3547634216097 5912723693495 7095268432194 10642902648291 11825447386990 17738171080485 21285805296582 29563618467475 35476342160970 53214513241455 59127236934950 88690855402425 106429026482910 177381710804850 266072566207275 532145132414550