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55368086355 = 33510914925253
BaseRepresentation
bin110011100100001100…
…011111001101010011
312021220200211012202000
4303210030133031103
51401343212230410
641234042125043
74000033653201
oct634414371523
9167820735660
1055368086355
112153292885a
12a8927b0783
1352b4c47b9a
14297364a071
151690ca8dc0
hexce431f353

55368086355 has 64 divisors (see below), whose sum is σ = 100005840000. Its totient is φ = 29061213696.

The previous prime is 55368086341. The next prime is 55368086381.

55368086355 is a `hidden beast` number, since 553 + 6 + 8 + 0 + 86 + 3 + 5 + 5 = 666.

55368086355 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55368086355 - 27 = 55368086227 is a prime.

It is a super-2 number, since 2×553680863552 (a number of 22 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2179909 + ... + 2205161.

It is an arithmetic number, because the mean of its divisors is an integer number (1562591250).

Almost surely, 255368086355 is an apocalyptic number.

55368086355 is a deficient number, since it is larger than the sum of its proper divisors (44637753645).

55368086355 is a wasteful number, since it uses less digits than its factorization.

55368086355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25525 (or 25519 counting only the distinct ones).

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

The spelling of 55368086355 in words is "fifty-five billion, three hundred sixty-eight million, eighty-six thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 109 135 149 327 447 545 745 981 1341 1635 2235 2943 4023 4905 6705 14715 16241 20115 25253 48723 75759 81205 126265 146169 227277 243615 378795 438507 681831 730845 1136385 2192535 2752577 3409155 3762697 8257731 11288091 13762885 18813485 24773193 33864273 41288655 56440455 74319579 101592819 123865965 169321365 371597895 410133973 507964095 1230401919 2050669865 3691205757 6152009595 11073617271 18456028785 55368086355