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3126679056 = 2435839689
BaseRepresentation
bin1011101001011101…
…0101011000010000
322001220101202100000
42322113111120100
522400412212211
61234131330000
7140324222244
oct27227253020
98056352300
103126679056
111364a24286
12733150900
133aaa09567
14219380424
15134768656
hexba5d5610

3126679056 has 120 divisors (see below), whose sum is σ = 9184724640. Its totient is φ = 1029563136.

The previous prime is 3126679037. The next prime is 3126679057. The reversal of 3126679056 is 6509766213.

It is a super-2 number, since 2×31266790562 = 19552243838458102272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3126679057) 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, 317860 + ... + 327548.

It is an arithmetic number, because the mean of its divisors is an integer number (76539372).

Almost surely, 23126679056 is an apocalyptic number.

3126679056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3126679056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592362320).

3126679056 is an abundant number, since it is smaller than the sum of its proper divisors (6058045584).

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

3126679056 is an equidigital number, since it uses as much as digits as its factorization.

3126679056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9795 (or 9777 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3126679056 is about 55916.7153541765. The cubic root of 3126679056 is about 1462.2706669990.

The spelling of 3126679056 in words is "three billion, one hundred twenty-six million, six hundred seventy-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 83 108 144 162 166 216 243 249 324 332 432 486 498 648 664 747 972 996 1296 1328 1494 1944 1992 2241 2988 3888 3984 4482 5976 6723 8964 9689 11952 13446 17928 19378 20169 26892 29067 35856 38756 40338 53784 58134 77512 80676 87201 107568 116268 155024 161352 174402 232536 261603 322704 348804 465072 523206 697608 784809 804187 1046412 1395216 1569618 1608374 2092824 2354427 2412561 3139236 3216748 4185648 4708854 4825122 6278472 6433496 7237683 9417708 9650244 12556944 12866992 14475366 18835416 19300488 21713049 28950732 37670832 38600976 43426098 57901464 65139147 86852196 115802928 130278294 173704392 195417441 260556588 347408784 390834882 521113176 781669764 1042226352 1563339528 3126679056