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23117356472058 = 236311097466243
BaseRepresentation
bin1010100000110011011011…
…10100100001011011111010
310000211222221022122021000000
411100121231310201123322
511012223321224101213
6121055544510053430
74604113433566602
oct520315564413372
9100758838567000
1023117356472058
11740301a0731a2
12271436baaa276
13cb8c5a427784
1459cc59367c02
152a1507452c73
hex15066dd216fa

23117356472058 has 112 divisors (see below), whose sum is σ = 53716411374336. Its totient is φ = 7450397962560.

The previous prime is 23117356472057. The next prime is 23117356472101. The reversal of 23117356472058 is 85027465371132.

23117356472058 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 7 + 3 + 564 + 7 + 20 + 58 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 23117356471995 and 23117356472013.

It is not an unprimeable number, because it can be changed into a prime (23117356472057) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 49349085 + ... + 49815327.

Almost surely, 223117356472058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23117356472058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26858205687168).

23117356472058 is an abundant number, since it is smaller than the sum of its proper divisors (30599054902278).

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

23117356472058 is a wasteful number, since it uses less digits than its factorization.

23117356472058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467391 (or 467376 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 23117356472058 in words is "twenty-three trillion, one hundred seventeen billion, three hundred fifty-six million, four hundred seventy-two thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 729 837 1097 1458 1674 2194 2511 3291 5022 6582 7533 9873 15066 19746 22599 29619 34007 45198 59238 68014 88857 102021 177714 204042 266571 306063 466243 533142 612126 799713 918189 932486 1398729 1599426 1836378 2754567 2797458 4196187 5509134 8263701 8392374 12588561 14453533 16527402 24791103 25177122 28907066 37765683 43360599 49582206 75531366 86721198 113297049 130081797 226594098 260163594 339891147 390245391 511468571 679782294 780490782 1022937142 1170736173 1534405713 2341472346 3068811426 3512208519 4603217139 7024417038 9206434278 10536625557 13809651417 15855525701 21073251114 27619302834 31711051402 41428954251 47566577103 82857908502 95133154206 124286862753 142699731309 248573725506 285399462618 372860588259 428099193927 745721176518 856198387854 1284297581781 2568595163562 3852892745343 7705785490686 11558678236029 23117356472058