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56267160849 = 3237221372
BaseRepresentation
bin110100011001110010…
…001011110100010001
312101020100120221002100
4310121302023310101
51410213343121344
641503200311013
74031231655504
oct643162136421
9171210527070
1056267160849
1121954388829
12aaa3912469
1353c92a9223
142a1ac0513b
1516e4ba1569
hexd19c8bd11

56267160849 has 27 divisors (see below), whose sum is σ = 83569877937. Its totient is φ = 36480538944.

The previous prime is 56267160841. The next prime is 56267160863. The reversal of 56267160849 is 94806176265.

The square root of 56267160849 is 237207.

It is a perfect power (a square), and thus also a powerful number.

56267160849 is a `hidden beast` number, since 5 + 6 + 26 + 7 + 1 + 608 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 750376449 + 55516784400 = 27393^2 + 235620^2 .

It is not a de Polignac number, because 56267160849 - 23 = 56267160841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56267160795 and 56267160804.

It is not an unprimeable number, because it can be changed into a prime (56267160841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26328909 + ... + 26331045.

Almost surely, 256267160849 is an apocalyptic number.

56267160849 is the 237207-th square number.

56267160849 is the 118604-th centered octagonal number.

It is an amenable number.

56267160849 is a deficient number, since it is larger than the sum of its proper divisors (27302717088).

56267160849 is an frugal number, since it uses more digits than its factorization.

56267160849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 56267160849 in words is "fifty-six billion, two hundred sixty-seven million, one hundred sixty thousand, eight hundred forty-nine".

Divisors: 1 3 9 37 111 333 1369 2137 4107 6411 12321 19233 79069 237207 711621 2925553 4566769 8776659 13700307 26329977 41100921 168970453 506911359 1520734077 6251906761 18755720283 56267160849