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85178657205 = 32513923132
BaseRepresentation
bin100111101010100001…
…0110010100110110101
322010212020200010011200
41033111002302212311
52343421214012310
6103044110123113
76103543432365
oct1172502624665
9263766603150
1085178657205
1133140149974
12146121b0499
138055cb7315
1441a08649a5
152337e659c0
hex13d50b29b5

85178657205 has 54 divisors (see below), whose sum is σ = 149189466114. Its totient is φ = 44957697408.

The previous prime is 85178657203. The next prime is 85178657231. The reversal of 85178657205 is 50275687158.

It can be written as a sum of positive squares in 3 ways, for example, as 11936436516 + 73242220689 = 109254^2 + 270633^2 .

It is not a de Polignac number, because 85178657205 - 21 = 85178657203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85178657203) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 272136129 + ... + 272136441.

It is an arithmetic number, because the mean of its divisors is an integer number (2762767891).

Almost surely, 285178657205 is an apocalyptic number.

It is an amenable number.

85178657205 is a deficient number, since it is larger than the sum of its proper divisors (64010808909).

85178657205 is an equidigital number, since it uses as much as digits as its factorization.

85178657205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 85178657205 in words is "eighty-five billion, one hundred seventy-eight million, six hundred fifty-seven thousand, two hundred five".

Divisors: 1 3 5 9 15 45 139 313 417 695 939 1251 1565 2085 2817 4695 6255 14085 19321 43507 57963 96605 97969 130521 173889 217535 289815 293907 391563 489845 652605 869445 881721 1469535 1957815 4408605 6047473 13617691 18142419 30237365 40853073 54427257 68088455 90712095 122559219 204265365 272136285 612796095 1892859049 5678577147 9464295245 17035731441 28392885735 85178657205