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81607897664 = 2619329322549
BaseRepresentation
bin100110000000000110…
…1011011001001000000
321210122101122201221022
41030000031123021000
52314113110211124
6101253512245012
75616214453616
oct1140015331100
9253571581838
1081607897664
1131678592427
12139963a0768
1379072a4557
143d425276b6
1521c972cc5e
hex130035b240

81607897664 has 56 divisors (see below), whose sum is σ = 163342548600. Its totient is φ = 40452194304.

The previous prime is 81607897621. The next prime is 81607897669. The reversal of 81607897664 is 46679870618.

It can be written as a sum of positive squares in 4 ways, for example, as 48396480064 + 33211417600 = 219992^2 + 182240^2 .

It is a super-2 number, since 2×816078976642 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 81607897597 and 81607897606.

It is not an unprimeable number, because it can be changed into a prime (81607897669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3607862 + ... + 3630410.

It is an arithmetic number, because the mean of its divisors is an integer number (2916831225).

Almost surely, 281607897664 is an apocalyptic number.

It is an amenable number.

81607897664 is an abundant number, since it is smaller than the sum of its proper divisors (81734650936).

81607897664 is a wasteful number, since it uses less digits than its factorization.

81607897664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23047 (or 23037 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 62.

The spelling of 81607897664 in words is "eighty-one billion, six hundred seven million, eight hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 193 293 386 586 772 1172 1544 2344 3088 4688 6176 9376 12352 18752 22549 45098 56549 90196 113098 180392 226196 360784 452392 721568 904784 1443136 1809568 3619136 4351957 6606857 8703914 13213714 17407828 26427428 34815656 52854856 69631312 105709712 139262624 211419424 278525248 422838848 1275123401 2550246802 5100493604 10200987208 20401974416 40803948832 81607897664