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40456817892 = 22322122152957
BaseRepresentation
bin100101101011011010…
…100000110011100100
310212102111122021211200
4211223122200303210
51130323421133032
630330254002500
72631362164251
oct455332406344
9125374567750
1040456817892
1116180901097
127a10aa6430
133a798c85ca
141d5b122428
1510bbb7047c
hex96b6a0ce4

40456817892 has 36 divisors (see below), whose sum is σ = 102272595516. Its totient is φ = 13484715840.

The previous prime is 40456817879. The next prime is 40456817897. The reversal of 40456817892 is 29871865404.

It is a happy number.

40456817892 is a `hidden beast` number, since 4 + 0 + 4 + 568 + 1 + 78 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18450875556 + 22005942336 = 135834^2 + 148344^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×404568178922 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40456817897) 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 11 ways as a sum of consecutive naturals, for example, 737478 + ... + 790434.

It is an arithmetic number, because the mean of its divisors is an integer number (2840905431).

Almost surely, 240456817892 is an apocalyptic number.

It is an amenable number.

40456817892 is an abundant number, since it is smaller than the sum of its proper divisors (61815777624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40456817892 is a wasteful number, since it uses less digits than its factorization.

40456817892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74188 (or 74183 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 40456817892 in words is "forty billion, four hundred fifty-six million, eight hundred seventeen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 21221 42442 52957 63663 84884 105914 127326 158871 190989 211828 254652 317742 381978 476613 635484 763956 953226 1906452 1123800497 2247600994 3371401491 4495201988 6742802982 10114204473 13485605964 20228408946 40456817892