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102856522568 = 2314927612
BaseRepresentation
bin101111111001010111…
…0011111101101001000
3100211111020200201112212
41133302232133231020
53141122232210233
6115130204124252
710300611005432
oct1376256375510
9324436621485
10102856522568
113a691909858
1217b26536688
139912569b97
144d9a599652
152a1eddba48
hex17f2b9fb48

102856522568 has 36 divisors (see below), whose sum is σ = 194414473995. Its totient is φ = 51015978880.

The previous prime is 102856522547. The next prime is 102856522669. The reversal of 102856522568 is 865225658201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 14491825924 + 88364696644 = 120382^2 + 297262^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=226778.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 135159308 + ... + 135160068.

Almost surely, 2102856522568 is an apocalyptic number.

It is an amenable number.

102856522568 is a deficient number, since it is larger than the sum of its proper divisors (91557951427).

102856522568 is an frugal number, since it uses more digits than its factorization.

102856522568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 50.

Multiplying 102856522568 by its sum of digits (50), we get a square (5142826128400 = 22677802).

The spelling of 102856522568 in words is "one hundred two billion, eight hundred fifty-six million, five hundred twenty-two thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 149 298 596 761 1192 1522 3044 6088 22201 44402 88804 113389 177608 226778 453556 579121 907112 1158242 2316484 4632968 16894961 33789922 67579844 86289029 135159688 172578058 345156116 690312232 12857065321 25714130642 51428261284 102856522568