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56466351144 = 23327112036411
BaseRepresentation
bin110100100101101010…
…000010010000101000
312101202020101211210200
4310211222002100220
51411120341214034
641535033512200
74036201031310
oct644552022050
9171666354720
1056466351144
1121a46868405
12ab3a572660
13542b63bac8
142a39456440
1517073eaa99
hexd25a82428

56466351144 has 48 divisors (see below), whose sum is σ = 174776802720. Its totient is φ = 16133243040.

The previous prime is 56466351133. The next prime is 56466351167. The reversal of 56466351144 is 44115366465.

56466351144 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 635 + 1 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56466351144.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 56017702 + ... + 56018709.

It is an arithmetic number, because the mean of its divisors is an integer number (3641183390).

Almost surely, 256466351144 is an apocalyptic number.

It is an amenable number.

56466351144 is an abundant number, since it is smaller than the sum of its proper divisors (118310451576).

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

56466351144 is a wasteful number, since it uses less digits than its factorization.

56466351144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112036430 (or 112036423 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 56466351144 in words is "fifty-six billion, four hundred sixty-six million, three hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 112036411 224072822 336109233 448145644 672218466 784254877 896291288 1008327699 1344436932 1568509754 2016655398 2352764631 2688873864 3137019508 4033310796 4705529262 6274039016 7058293893 8066621592 9411058524 14116587786 18822117048 28233175572 56466351144