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55997279955 = 32510711629757
BaseRepresentation
bin110100001001101100…
…101010111011010011
312100112112202120002200
4310021230222323103
51404140300424310
641420320014243
74021444011651
oct641154527323
9170475676080
1055997279955
1121826006271
12aa29461383
1353853c56a6
1429d3031dd1
1516cb1419c0
hexd09b2aed3

55997279955 has 24 divisors (see below), whose sum is σ = 97969081392. Its totient is φ = 29586099264.

The previous prime is 55997279953. The next prime is 55997279957.

55997279955 is a `hidden beast` number, since 5 + 599 + 7 + 27 + 9 + 9 + 5 + 5 = 666.

55997279955 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (55997279953) and next prime (55997279957).

It is not a de Polignac number, because 55997279955 - 21 = 55997279953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55997279953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5810064 + ... + 5819693.

It is an arithmetic number, because the mean of its divisors is an integer number (4082045058).

Almost surely, 255997279955 is an apocalyptic number.

55997279955 is a deficient number, since it is larger than the sum of its proper divisors (41971801437).

55997279955 is a wasteful number, since it uses less digits than its factorization.

55997279955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11629875 (or 11629872 counting only the distinct ones).

The product of its digits is 401861250, while the sum is 72.

The spelling of 55997279955 in words is "fifty-five billion, nine hundred ninety-seven million, two hundred seventy-nine thousand, nine hundred fifty-five".

Divisors: 1 3 5 9 15 45 107 321 535 963 1605 4815 11629757 34889271 58148785 104667813 174446355 523339065 1244383999 3733151997 6221919995 11199455991 18665759985 55997279955