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23506054542450 = 23252313803443077
BaseRepresentation
bin1010101100000111011100…
…00001111111010001110010
310002020011020100122010012100
411112003232001333101302
511040110344430324300
6121554310554441230
74644153641640534
oct526035601772162
9102204210563170
1023506054542450
117542952a955a7
12277776a133216
1310167c44162ac
145b39b0503854
152ab6a6a1b700
hex1560ee07f472

23506054542450 has 144 divisors (see below), whose sum is σ = 65207413529856. Its totient is φ = 6064469827200.

The previous prime is 23506054542371. The next prime is 23506054542473. The reversal of 23506054542450 is 5424545060532.

23506054542450 is a `hidden beast` number, since 2 + 3 + 5 + 0 + 6 + 0 + 54 + 542 + 4 + 50 = 666.

It is a super-3 number, since 3×235060545424503 (a number of 41 digits) contains 333 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 = 23506054542396 and 23506054542405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52830312 + ... + 53273388.

It is an arithmetic number, because the mean of its divisors is an integer number (452829260624).

Almost surely, 223506054542450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23506054542450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32603706764928).

23506054542450 is an abundant number, since it is smaller than the sum of its proper divisors (41701358987406).

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

23506054542450 is a wasteful number, since it uses less digits than its factorization.

23506054542450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446929 (or 446921 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 23506054542450 in words is "twenty-three trillion, five hundred six billion, fifty-four million, five hundred forty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 558 775 930 1395 1550 2325 2790 3803 4650 6975 7606 11409 13950 19015 22818 34227 38030 57045 68454 95075 114090 117893 171135 190150 235786 285225 342270 353679 443077 570450 589465 707358 855675 886154 1061037 1178930 1329231 1711350 1768395 2122074 2215385 2658462 2947325 3536790 3987693 4430770 5305185 5894650 6646155 7975386 8841975 10610370 11076925 13292310 13735387 17683950 19938465 22153850 26525925 27470774 33230775 39876930 41206161 53051850 66461550 68676935 82412322 99692325 123618483 137353870 199384650 206030805 247236966 343384675 412061610 618092415 686769350 1030154025 1236184830 1685021831 2060308050 3090462075 3370043662 5055065493 6180924150 8425109155 10110130986 15165196479 16850218310 25275327465 30330392958 42125545775 50550654930 52235676761 75825982395 84251091550 104471353522 126376637325 151651964790 156707030283 252753274650 261178383805 313414060566 379129911975 470121090849 522356767610 758259823950 783535151415 940242181698 1305891919025 1567070302830 2350605454245 2611783838050 3917675757075 4701210908490 7835351514150 11753027271225 23506054542450