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532241453120 = 26513142989533
BaseRepresentation
bin1111011111011000001…
…00000001000001000000
31212212210211012020020212
413233230010001001000
532210012302444440
61044301445253252
753311303464056
oct7575404010100
91785724166225
10532241453120
111957a4474423
128719a704228
133b2619c95a0
141ba9121a1d6
15dca1416465
hex7bec101040

532241453120 has 112 divisors (see below), whose sum is σ = 1365862658160. Its totient is φ = 196380205056.

The previous prime is 532241453111. The next prime is 532241453129. The reversal of 532241453120 is 21354142235.

It is an interprime number because it is at equal distance from previous prime (532241453111) and next prime (532241453129).

It can be written as a sum of positive squares in 8 ways, for example, as 26561176576 + 505680276544 = 162976^2 + 711112^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (532241453129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5899874 + ... + 5989406.

It is an arithmetic number, because the mean of its divisors is an integer number (12195202305).

Almost surely, 2532241453120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532241453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682931329080).

532241453120 is an abundant number, since it is smaller than the sum of its proper divisors (833621205040).

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

532241453120 is a wasteful number, since it uses less digits than its factorization.

532241453120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90992 (or 90982 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 532241453120 its reverse (21354142235), we get a palindrome (553595595355).

The spelling of 532241453120 in words is "five hundred thirty-two billion, two hundred forty-one million, four hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 1429 2080 2858 4160 5716 7145 11432 14290 18577 22864 28580 37154 45728 57160 74308 89533 91456 92885 114320 148616 179066 185770 228640 297232 358132 371540 447665 457280 594464 716264 743080 895330 1163929 1188928 1432528 1486160 1790660 2327858 2865056 2972320 3581320 4655716 5730112 5819645 5944640 7162640 9311432 11639290 14325280 18622864 23278580 28650560 37245728 46557160 74491456 93114320 127942657 186228640 255885314 372457280 511770628 639713285 1023541256 1279426570 1663254541 2047082512 2558853140 3326509082 4094165024 5117706280 6653018164 8188330048 8316272705 10235412560 13306036328 16632545410 20470825120 26612072656 33265090820 40941650240 53224145312 66530181640 106448290624 133060363280 266120726560 532241453120