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55160475705 = 3251772105197
BaseRepresentation
bin110011010111110100…
…100001000000111001
312021101020011111110200
4303113310201000321
51400432040210310
641201304232413
73661633210266
oct632764410071
9167336144420
1055160475705
1121436717905
12a83516b709
135280c2774a
142953c4626d
15167c9499c0
hexcd7d21039

55160475705 has 24 divisors (see below), whose sum is σ = 101235697992. Its totient is φ = 27688395264.

The previous prime is 55160475677. The next prime is 55160475743. The reversal of 55160475705 is 50757406155.

55160475705 is a `hidden beast` number, since 5 + 51 + 60 + 475 + 70 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11864437776 + 43296037929 = 108924^2 + 208077^2 .

It is not a de Polignac number, because 55160475705 - 26 = 55160475641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36051834 + ... + 36053363.

It is an arithmetic number, because the mean of its divisors is an integer number (4218154083).

Almost surely, 255160475705 is an apocalyptic number.

It is an amenable number.

55160475705 is a deficient number, since it is larger than the sum of its proper divisors (46075222287).

55160475705 is a wasteful number, since it uses less digits than its factorization.

55160475705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72105225 (or 72105222 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 55160475705 in words is "fifty-five billion, one hundred sixty million, four hundred seventy-five thousand, seven hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 72105197 216315591 360525985 648946773 1081577955 1225788349 3244733865 3677365047 6128941745 11032095141 18386825235 55160475705