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56456023040442 = 23217211822455389
BaseRepresentation
bin11001101011000101100010…
…01100101110000110111010
321101220010212022111111212200
430311202301030232012322
524344433413344243232
6320023312224451030
714614545611005614
oct1465426114560672
9241803768444780
1056456023040442
1116a96957223363
1263b967ba79a76
132566a1ac35b7c
14dd26b3bb5db4
1567d83da2077c
hex3358b132e1ba

56456023040442 has 24 divisors (see below), whose sum is σ = 122392459081620. Its totient is φ = 18807739604160.

The previous prime is 56456023040441. The next prime is 56456023040513. The reversal of 56456023040442 is 24404032065465.

It is a happy number.

56456023040442 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 6 + 0 + 230 + 404 + 4 + 2 = 666.

56456023040442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 56455973210961 + 49829481 = 7513719^2 + 7059^2 .

It is not an unprimeable number, because it can be changed into a prime (56456023040441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 911196717 + ... + 911258672.

Almost surely, 256456023040442 is an apocalyptic number.

56456023040442 is an abundant number, since it is smaller than the sum of its proper divisors (65936436041178).

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

56456023040442 is a wasteful number, since it uses less digits than its factorization.

56456023040442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822457118 (or 1822457115 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 56456023040442 in words is "fifty-six trillion, four hundred fifty-six billion, twenty-three million, forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 1721 3442 5163 10326 15489 30978 1822455389 3644910778 5467366167 10934732334 16402098501 32804197002 3136445724469 6272891448938 9409337173407 18818674346814 28228011520221 56456023040442