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40558002561 = 34500716081
BaseRepresentation
bin100101110001011100…
…100000000110000001
310212200120001000010000
4211301130200012001
51131030322040221
630344310430213
72634031222266
oct456134400601
9125616030100
1040558002561
1116222a3168a
127a3a962369
133a948653ab
141d6a74126d
1510c59aae26
hex971720181

40558002561 has 10 divisors (see below), whose sum is σ = 60586645922. Its totient is φ = 27038668320.

The previous prime is 40558002559. The next prime is 40558002599. The reversal of 40558002561 is 16520085504.

40558002561 is a `hidden beast` number, since 40 + 5 + 58 + 0 + 0 + 2 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29735553600 + 10822448961 = 172440^2 + 104031^2 .

It is not a de Polignac number, because 40558002561 - 21 = 40558002559 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40558002061) 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 9 ways as a sum of consecutive naturals, for example, 250357960 + ... + 250358121.

Almost surely, 240558002561 is an apocalyptic number.

It is an amenable number.

40558002561 is a deficient number, since it is larger than the sum of its proper divisors (20028643361).

40558002561 is an equidigital number, since it uses as much as digits as its factorization.

40558002561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500716093 (or 500716084 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 40558002561 in words is "forty billion, five hundred fifty-eight million, two thousand, five hundred sixty-one".

Divisors: 1 3 9 27 81 500716081 1502148243 4506444729 13519334187 40558002561