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5677938336 = 253753159421
BaseRepresentation
bin1010100100110111…
…00111011010100000
3112122201001011010110
411102123213122200
543112023011321
62335225531320
7260463452040
oct52233473240
915581034113
105677938336
112454059124
121125643b40
136c6445335
143bc135720
1523371c176
hex1526e76a0

5677938336 has 96 divisors (see below), whose sum is σ = 17355316608. Its totient is φ = 1591649280.

The previous prime is 5677938313. The next prime is 5677938347. The reversal of 5677938336 is 6338397765.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44095 + ... + 115326.

It is an arithmetic number, because the mean of its divisors is an integer number (180784548).

Almost surely, 25677938336 is an apocalyptic number.

5677938336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5677938336 is an abundant number, since it is smaller than the sum of its proper divisors (11677378272).

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

5677938336 is a wasteful number, since it uses less digits than its factorization.

5677938336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159494 (or 159486 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 57.

The square root of 5677938336 is about 75352.0957638207. The cubic root of 5677938336 is about 1784.0083820583.

The spelling of 5677938336 in words is "five billion, six hundred seventy-seven million, nine hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 159 168 212 224 318 336 371 424 636 672 742 848 1113 1272 1484 1696 2226 2544 2968 4452 5088 5936 8904 11872 17808 35616 159421 318842 478263 637684 956526 1115947 1275368 1913052 2231894 2550736 3347841 3826104 4463788 5101472 6695682 7652208 8449313 8927576 13391364 15304416 16898626 17855152 25347939 26782728 33797252 35710304 50695878 53565456 59145191 67594504 101391756 107130912 118290382 135189008 177435573 202783512 236580764 270378016 354871146 405567024 473161528 709742292 811134048 946323056 1419484584 1892646112 2838969168 5677938336