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55988551161 = 346124312
BaseRepresentation
bin110100001001001011…
…010111110111111001
312100111221100002110000
4310021023113313321
51404131032114121
641415404543213
74021306555404
oct641113276771
9170457302400
1055988551161
1121821094194
12aa26551b09
13538365a61a
1429d1bdcd3b
1516ca4ba526
hexd092d7df9

55988551161 has 45 divisors (see below), whose sum is σ = 85228542399. Its totient is φ = 36628621200.

The previous prime is 55988551141. The next prime is 55988551193. The reversal of 55988551161 is 16115588955.

The square root of 55988551161 is 236619.

It is a perfect power (a square), and thus also a powerful number.

55988551161 is a `hidden beast` number, since 5 + 5 + 9 + 88 + 551 + 1 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1820643561 + 54167907600 = 42669^2 + 232740^2 .

It is not a de Polignac number, because 55988551161 - 227 = 55854333433 is a prime.

It is a super-2 number, since 2×559885511612 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55988551098 and 55988551107.

It is not an unprimeable number, because it can be changed into a prime (55988551141) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 129903616 + ... + 129904046.

Almost surely, 255988551161 is an apocalyptic number.

55988551161 is the 236619-th square number.

55988551161 is the 118310-th centered octagonal number.

It is an amenable number.

55988551161 is a deficient number, since it is larger than the sum of its proper divisors (29239991238).

55988551161 is an frugal number, since it uses more digits than its factorization.

55988551161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 495 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 54.

The spelling of 55988551161 in words is "fifty-five billion, nine hundred eighty-eight million, five hundred fifty-one thousand, one hundred sixty-one".

Divisors: 1 3 9 27 61 81 183 431 549 1293 1647 3721 3879 4941 11163 11637 26291 33489 34911 78873 100467 185761 236619 301401 557283 709857 1603751 1671849 2129571 4811253 5015547 11331421 14433759 15046641 33994263 43301277 101982789 129903831 305948367 691216681 917845101 2073650043 6220950129 18662850387 55988551161