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55105164675 = 36521117192337
BaseRepresentation
bin110011010100100001…
…100001010110000011
312021020101002102000000
4303110201201112003
51400323410232200
641152010531043
73660362112531
oct632441412603
9167211072000
1055105164675
1121408479910
12a81a736a83
13527262cb22
14294a769151
151677b71300
hexcd4861583

55105164675 has 672 divisors, whose sum is σ = 133493598720. Its totient is φ = 22170931200.

The previous prime is 55105164671. The next prime is 55105164677. The reversal of 55105164675 is 57646150155.

It is a happy number.

55105164675 is a `hidden beast` number, since 5 + 510 + 5 + 1 + 64 + 6 + 75 = 666.

It is not a de Polignac number, because 55105164675 - 22 = 55105164671 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55105164675.

It is not an unprimeable number, because it can be changed into a prime (55105164671) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1489328757 + ... + 1489328793.

Almost surely, 255105164675 is an apocalyptic number.

55105164675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55105164675 is an abundant number, since it is smaller than the sum of its proper divisors (78388434045).

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

55105164675 is a wasteful number, since it uses less digits than its factorization.

55105164675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 55105164675 in words is "fifty-five billion, one hundred five million, one hundred sixty-four thousand, six hundred seventy-five".