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56010100005 = 3251773215817
BaseRepresentation
bin110100001010011101…
…100100110100100101
312100120102212212220100
4310022131210310211
51404202041200010
641421454454313
74021660665126
oct641235446445
9170512785810
1056010100005
1121832272152
12aa31804399
135387c63a12
1429d4a0c04d
1516cc3252c0
hexd0a764d25

56010100005 has 24 divisors (see below), whose sum is σ = 102795008472. Its totient is φ = 28114873344.

The previous prime is 56010099983. The next prime is 56010100007. The reversal of 56010100005 is 50000101065.

56010100005 is a `hidden beast` number, since 560 + 1 + 0 + 100 + 0 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8255176164 + 47754923841 = 90858^2 + 218529^2 .

It is not a de Polignac number, because 56010100005 - 25 = 56010099973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56010100007) 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 23 ways as a sum of consecutive naturals, for example, 36607144 + ... + 36608673.

It is an arithmetic number, because the mean of its divisors is an integer number (4283125353).

Almost surely, 256010100005 is an apocalyptic number.

It is an amenable number.

56010100005 is a deficient number, since it is larger than the sum of its proper divisors (46784908467).

56010100005 is a wasteful number, since it uses less digits than its factorization.

56010100005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73215845 (or 73215842 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 56010100005 in words is "fifty-six billion, ten million, one hundred thousand, five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 73215817 219647451 366079085 658942353 1098237255 1244668889 3294711765 3734006667 6223344445 11202020001 18670033335 56010100005