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5106316656 = 2437217127709
BaseRepresentation
bin1001100000101110…
…00011010101110000
3111011212102202121010
410300113003111300
540424204113111
62202410030520
7240352655400
oct46027032560
914155382533
105106316656
112190423311
12ba6118440
13634ba455c
14366258800
151ed457aa6
hex1305c3570

5106316656 has 120 divisors (see below), whose sum is σ = 16247777040. Its totient is φ = 1373116416.

The previous prime is 5106316651. The next prime is 5106316679. The reversal of 5106316656 is 6566136015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106316651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23871 + ... + 103838.

It is an arithmetic number, because the mean of its divisors is an integer number (135398142).

Almost surely, 25106316656 is an apocalyptic number.

5106316656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5106316656 is an abundant number, since it is smaller than the sum of its proper divisors (11141460384).

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

5106316656 is a wasteful number, since it uses less digits than its factorization.

5106316656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127751 (or 127738 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 5106316656 is about 71458.4960379100. The cubic root of 5106316656 is about 1722.0109722349.

The spelling of 5106316656 in words is "five billion, one hundred six million, three hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 357 392 408 476 588 714 784 816 833 952 1176 1428 1666 1904 2352 2499 2856 3332 4998 5712 6664 9996 13328 19992 39984 127709 255418 383127 510836 766254 893963 1021672 1532508 1787926 2043344 2171053 2681889 3065016 3575852 4342106 5363778 6130032 6257741 6513159 7151704 8684212 10727556 12515482 13026318 14303408 15197371 17368424 18773223 21455112 25030964 26052636 30394742 34736848 37546446 42910224 45592113 50061928 52105272 60789484 75092892 91184226 100123856 104210544 106381597 121578968 150185784 182368452 212763194 243157936 300371568 319144791 364736904 425526388 638289582 729473808 851052776 1276579164 1702105552 2553158328 5106316656