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5681626390656 = 27325983592667
BaseRepresentation
bin101001010101101101101…
…0100101010000010000000
3202010011021022102110110100
41102223123110222002000
51221041432324000111
620030034135402400
71124324666325366
oct122533324520200
922104238373410
105681626390656
1118a0622a83547
12779179223400
13322a0ca9c4c8
14158dc67a9636
159cbd3721756
hex52adb52a080

5681626390656 has 96 divisors (see below), whose sum is σ = 16626581665200. Its totient is φ = 1861775857152.

The previous prime is 5681626390621. The next prime is 5681626390663. The reversal of 5681626390656 is 6560936261865.

5681626390656 is a `hidden beast` number, since 56 + 81 + 62 + 6 + 390 + 65 + 6 = 666.

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

It is a super-2 number, since 2×56816263906562 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5681626390593 and 5681626390602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41728366 + ... + 41864301.

Almost surely, 25681626390656 is an apocalyptic number.

It is an amenable number.

5681626390656 is an abundant number, since it is smaller than the sum of its proper divisors (10944955274544).

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

5681626390656 is a wasteful number, since it uses less digits than its factorization.

5681626390656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83592746 (or 83592731 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 5681626390656 in words is "five trillion, six hundred eighty-one billion, six hundred twenty-six million, three hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 288 354 384 472 531 576 708 944 1062 1152 1416 1888 2124 2832 3776 4248 5664 7552 8496 11328 16992 22656 33984 67968 83592667 167185334 250778001 334370668 501556002 668741336 752334003 1003112004 1337482672 1504668006 2006224008 2674965344 3009336012 4012448016 4931967353 5349930688 6018672024 8024896032 9863934706 10699861376 12037344048 14795902059 16049792064 19727869412 24074688096 29591804118 32099584128 39455738824 44387706177 48149376192 59183608236 78911477648 88775412354 96298752384 118367216472 157822955296 177550824708 236734432944 315645910592 355101649416 473468865888 631291821184 710203298832 946937731776 1420406597664 1893875463552 2840813195328 5681626390656