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59955107168 = 2511170327009
BaseRepresentation
bin110111110101100110…
…100101010101100000
312201202101010000100202
4313311212211111200
51440242001412133
643313142004332
74221513000545
oct676546452540
9181671100322
1059955107168
1123477105450
12b752a166a8
13586636c598
142c8a928bcc
15185d8362e8
hexdf59a5560

59955107168 has 24 divisors (see below), whose sum is σ = 128767219560. Its totient is φ = 27252321280.

The previous prime is 59955107143. The next prime is 59955107237. The reversal of 59955107168 is 86170155995.

It is a super-2 number, since 2×599551071682 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 85163153 + ... + 85163856.

It is an arithmetic number, because the mean of its divisors is an integer number (5365300815).

Almost surely, 259955107168 is an apocalyptic number.

It is an amenable number.

59955107168 is an abundant number, since it is smaller than the sum of its proper divisors (68812112392).

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

59955107168 is a wasteful number, since it uses less digits than its factorization.

59955107168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170327030 (or 170327022 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 56.

The spelling of 59955107168 in words is "fifty-nine billion, nine hundred fifty-five million, one hundred seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 170327009 340654018 681308036 1362616072 1873597099 2725232144 3747194198 5450464288 7494388396 14988776792 29977553584 59955107168