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8256132131232 = 2531072392933589
BaseRepresentation
bin111100000100100011111…
…0100101010100110100000
31002020021112001011210122010
41320021013310222212200
52040232024311144412
625320451552312520
71511325436132506
oct170110764524640
932207461153563
108256132131232
1126a3451395437
12b14115b42740
1347b71c23266b
14207855656676
15e4b632b733c
hex78247d2a9a0

8256132131232 has 96 divisors (see below), whose sum is σ = 21876457579200. Its totient is φ = 2726128908288.

The previous prime is 8256132131207. The next prime is 8256132131239. The reversal of 8256132131232 is 2321312316528.

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

It is a super-2 number, since 2×82561321312322 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8256132131239) 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 15 ways as a sum of consecutive naturals, for example, 245781894 + ... + 245815482.

It is an arithmetic number, because the mean of its divisors is an integer number (227879766450).

Almost surely, 28256132131232 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 8256132131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10938228789600).

8256132131232 is an abundant number, since it is smaller than the sum of its proper divisors (13620325447968).

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

8256132131232 is a wasteful number, since it uses less digits than its factorization.

8256132131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57638 (or 57630 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The spelling of 8256132131232 in words is "eight trillion, two hundred fifty-six billion, one hundred thirty-two million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 5136 10272 23929 33589 47858 67178 71787 95716 100767 134356 143574 191432 201534 268712 287148 382864 403068 537424 574296 765728 806136 1074848 1148592 1612272 2297184 2560403 3224544 3594023 5120806 7188046 7681209 10241612 10782069 14376092 15362418 20483224 21564138 28752184 30724836 40966448 43128276 57504368 61449672 81932896 86256552 115008736 122899344 172513104 245798688 345026208 803751181 1607502362 2411253543 3215004724 4822507086 6430009448 9645014172 12860018896 19290028344 25720037792 38580056688 77160113376 86001376367 172002752734 258004129101 344005505468 516008258202 688011010936 1032016516404 1376022021872 2064033032808 2752044043744 4128066065616 8256132131232