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23257945161 = 32112329352217
BaseRepresentation
bin10101101010010010…
…000001010001001001
32020000212221000211100
4111222102001101021
5340113013221121
614403510252013
71452232162203
oct255222012111
966025830740
1023257945161
11995555a490
124611057009
132268654039
1411a8c75773
15911cb3026
hex56a481449

23257945161 has 48 divisors (see below), whose sum is σ = 39561125760. Its totient is φ = 13017903360.

The previous prime is 23257945147. The next prime is 23257945169. The reversal of 23257945161 is 16154975232.

23257945161 is a `hidden beast` number, since 2 + 32 + 579 + 45 + 1 + 6 + 1 = 666.

It is not a de Polignac number, because 23257945161 - 221 = 23255848009 is a prime.

It is a super-2 number, since 2×232579451612 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23257945169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110076 + ... + 242141.

It is an arithmetic number, because the mean of its divisors is an integer number (824190120).

Almost surely, 223257945161 is an apocalyptic number.

It is an amenable number.

23257945161 is a deficient number, since it is larger than the sum of its proper divisors (16303180599).

23257945161 is a wasteful number, since it uses less digits than its factorization.

23257945161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352286 (or 352283 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 23257945161 in words is "twenty-three billion, two hundred fifty-seven million, nine hundred forty-five thousand, one hundred sixty-one".

Divisors: 1 3 9 11 23 29 33 69 87 99 207 253 261 319 667 759 957 2001 2277 2871 6003 7337 22011 66033 352217 1056651 3169953 3874387 8100991 10214293 11623161 24302973 30642879 34869483 72908919 89110901 91928637 112357223 234928739 267332703 337071669 704786217 801998109 1011215007 2114358651 2584216129 7752648387 23257945161