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5657786316 = 22327133155711
BaseRepresentation
bin1010100010011101…
…01111011111001100
3112121022010022202100
411101032233133030
543041343130231
62333225555100
7260130250560
oct52116573714
915538108670
105657786316
112443744666
12111a945a90
136c220a970
143b95ab6a0
15231a8b1e6
hex1513af7cc

5657786316 has 144 divisors (see below), whose sum is σ = 18170134528. Its totient is φ = 1444003200.

The previous prime is 5657786311. The next prime is 5657786317. The reversal of 5657786316 is 6136877565.

5657786316 is a `hidden beast` number, since 5 + 6 + 577 + 8 + 63 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (5657786311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73701 + ... + 129411.

Almost surely, 25657786316 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 5657786316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9085067264).

5657786316 is an abundant number, since it is smaller than the sum of its proper divisors (12512348212).

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

5657786316 is a wasteful number, since it uses less digits than its factorization.

5657786316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55772 (or 55767 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 5657786316 is about 75218.2578633672. The cubic root of 5657786316 is about 1781.8952917575.

The spelling of 5657786316 in words is "five billion, six hundred fifty-seven million, seven hundred eighty-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 217 234 252 273 279 364 372 403 434 468 546 558 651 806 819 868 1092 1116 1209 1302 1612 1638 1953 2418 2604 2821 3276 3627 3906 4836 5642 7254 7812 8463 11284 14508 16926 25389 33852 50778 55711 101556 111422 167133 222844 334266 389977 501399 668532 724243 779954 1002798 1169931 1448486 1559908 1727041 2005596 2172729 2339862 2896972 3454082 3509793 4345458 4679724 5069701 5181123 6518187 6908164 7019586 8690916 10139402 10362246 12089287 13036374 14039172 15209103 15543369 20278804 20724492 22451533 24178574 26072748 30418206 31086738 36267861 44903066 45627309 48357148 60836412 62173476 67354599 72535722 89806132 91254618 108803583 134709198 145071444 157160731 182509236 202063797 217607166 269418396 314321462 404127594 435214332 471482193 628642924 808255188 942964386 1414446579 1885928772 2828893158 5657786316