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5742478656 = 26329969581
BaseRepresentation
bin1010101100100011…
…10100010101000000
3112211012111010210200
411112101310111000
543230033304111
62345453125200
7262206156165
oct52621642500
915735433720
105742478656
112487530232
121143189800
13706921a85
143c693606c
1523921a256
hex156474540

5742478656 has 42 divisors (see below), whose sum is σ = 16459779882. Its totient is φ = 1914159360.

The previous prime is 5742478639. The next prime is 5742478669. The reversal of 5742478656 is 6568742475.

It is a happy number.

5742478656 is a `hidden beast` number, since 574 + 2 + 4 + 7 + 8 + 65 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4731238656 + 1011240000 = 68784^2 + 31800^2 .

It is a super-2 number, since 2×57424786562 = 65952122229231132672, which contains 22 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 4984215 + ... + 4985366.

It is an arithmetic number, because the mean of its divisors is an integer number (391899521).

Almost surely, 25742478656 is an apocalyptic number.

It is an amenable number.

5742478656 is an abundant number, since it is smaller than the sum of its proper divisors (10717301226).

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

5742478656 is a wasteful number, since it uses less digits than its factorization.

5742478656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9969599 (or 9969586 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The square root of 5742478656 is about 75779.1439381575. The cubic root of 5742478656 is about 1790.7424545051.

The spelling of 5742478656 in words is "five billion, seven hundred forty-two million, four hundred seventy-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 9969581 19939162 29908743 39878324 59817486 79756648 89726229 119634972 159513296 179452458 239269944 319026592 358904916 478539888 638053184 717809832 957079776 1435619664 1914159552 2871239328 5742478656