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55257275255 = 57213198591063
BaseRepresentation
bin110011011101100101…
…110001101101110111
312021121222022102111012
4303131211301231313
51401131330302010
641215043102435
73664220042600
oct633545615567
9167558272435
1055257275255
1121486322836
12a861671a1b
135297cba5a0
142962a42da7
1516861bb005
hexcdd971b77

55257275255 has 96 divisors (see below), whose sum is σ = 87624230400. Its totient is φ = 33065480448.

The previous prime is 55257275239. The next prime is 55257275273.

55257275255 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55257275255 - 24 = 55257275239 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 95 ways as a sum of consecutive naturals, for example, 51981854 + ... + 51982916.

It is an arithmetic number, because the mean of its divisors is an integer number (912752400).

Almost surely, 255257275255 is an apocalyptic number.

55257275255 is a deficient number, since it is larger than the sum of its proper divisors (32366955145).

55257275255 is a wasteful number, since it uses less digits than its factorization.

55257275255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1966 counting only the distinct ones).

The product of its digits is 6125000, while the sum is 50.

The spelling of 55257275255 in words is "fifty-five billion, two hundred fifty-seven million, two hundred seventy-five thousand, two hundred fifty-five".

Divisors: 1 5 7 13 19 35 49 65 91 95 133 245 247 455 637 665 859 931 1063 1235 1729 3185 4295 4655 5315 6013 7441 8645 11167 12103 13819 16321 20197 30065 37205 42091 52087 55835 60515 69095 78169 81605 96733 100985 114247 141379 210455 212173 260435 262561 390845 483665 547183 571235 677131 706895 799729 913117 989653 1060865 1312805 1485211 1837927 2735915 3385655 3998645 4565585 4948265 6391819 7426055 9189635 10396477 11870521 12865489 17349223 31959095 44742733 51982385 59352605 64327445 83093647 86746115 121444561 223713665 225539899 415468235 581655529 607222805 850111927 1127699495 1578779293 2908277645 4250559635 7893896465 11051455051 55257275255