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5612603456 = 261274571511
BaseRepresentation
bin1010011101000100…
…11000100001000000
3112111011002210112002
411032202120201000
542443311302311
62324533323132
7256041225245
oct51642304100
915434083462
105612603456
112420194059
1211077964a8
136b5a4b045
143b35a95cc
1522cb1393b
hex14e898840

5612603456 has 56 divisors (see below), whose sum is σ = 11257214976. Its totient is φ = 2776273920.

The previous prime is 5612603453. The next prime is 5612603461. The reversal of 5612603456 is 6543062165.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5612603453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3713741 + ... + 3715251.

It is an arithmetic number, because the mean of its divisors is an integer number (201021696).

Almost surely, 25612603456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5612603456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628607488).

5612603456 is an abundant number, since it is smaller than the sum of its proper divisors (5644611520).

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

5612603456 is a wasteful number, since it uses less digits than its factorization.

5612603456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 5612603456 is about 74917.3107899636. The cubic root of 5612603456 is about 1777.1392266046.

The spelling of 5612603456 in words is "five billion, six hundred twelve million, six hundred three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 127 254 457 508 914 1016 1511 1828 2032 3022 3656 4064 6044 7312 8128 12088 14624 24176 29248 48352 58039 96704 116078 191897 232156 383794 464312 690527 767588 928624 1381054 1535176 1857248 2762108 3070352 3714496 5524216 6140704 11048432 12281408 22096864 44193728 87696929 175393858 350787716 701575432 1403150864 2806301728 5612603456