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55823311332855 = 3351137591455443
BaseRepresentation
bin11001011000101011000001…
…01001000110010111110111
321022122122201112210112112000
430230111200221012113313
524304102120200122410
6314420513013030343
714521046460144663
oct1454254051062767
9238578645715460
1055823311332855
1116872595a33790
126316b220253b3
13251c16718ac91
14dadc112c78a3
1566c15be7edc0
hex32c560a465f7

55823311332855 has 32 divisors (see below), whose sum is σ = 108263391678720. Its totient is φ = 27065847918240.

The previous prime is 55823311332829. The next prime is 55823311332907.

55823311332855 is a `hidden beast` number, since 5 + 582 + 3 + 3 + 1 + 1 + 3 + 3 + 2 + 8 + 55 = 666.

55823311332855 is nontrivially palindromic in base 10.

55823311332855 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55823311332855 - 210 = 55823311331831 is a prime.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 18795726237 + ... + 18795729206.

It is an arithmetic number, because the mean of its divisors is an integer number (3383230989960).

Almost surely, 255823311332855 is an apocalyptic number.

55823311332855 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55823311332855 is a deficient number, since it is larger than the sum of its proper divisors (52440080345865).

55823311332855 is a wasteful number, since it uses less digits than its factorization.

55823311332855 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37591455468 (or 37591455462 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 55823311332855 in words is "fifty-five trillion, eight hundred twenty-three billion, three hundred eleven million, three hundred thirty-two thousand, eight hundred fifty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 37591455443 112774366329 187957277215 338323098987 413506009873 563871831645 1014969296961 1240518029619 1691615494935 2067530049365 3721554088857 5074846484805 6202590148095 11164662266571 18607770444285 55823311332855