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56775166401 = 3437113745247
BaseRepresentation
bin110100111000000100…
…000100100111000001
312102112202111021200210
4310320010010213001
51412233420311101
642025424504333
74046640644322
oct647004044701
9172482437623
1056775166401
1122095112928
12b005a7b0a9
13547a605125
142a68482449
15172459b7d6
hexd381049c1

56775166401 has 32 divisors (see below), whose sum is σ = 79126806528. Its totient is φ = 36182321280.

The previous prime is 56775166391. The next prime is 56775166403. The reversal of 56775166401 is 10466157765.

It is not a de Polignac number, because 56775166401 - 26 = 56775166337 is a prime.

It is a super-2 number, since 2×567751664012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56775166403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1232160 + ... + 1277406.

It is an arithmetic number, because the mean of its divisors is an integer number (2472712704).

Almost surely, 256775166401 is an apocalyptic number.

It is an amenable number.

56775166401 is a deficient number, since it is larger than the sum of its proper divisors (22351640127).

56775166401 is a wasteful number, since it uses less digits than its factorization.

56775166401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45501.

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 56775166401 in words is "fifty-six billion, seven hundred seventy-five million, one hundred sixty-six thousand, four hundred one".

Divisors: 1 3 43 71 129 137 213 411 3053 5891 9159 9727 17673 29181 45247 135741 418261 1254783 1945621 3212537 5836863 6198839 9637611 18596517 138139091 266550077 414417273 440117569 799650231 1320352707 18925055467 56775166401