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81368881856 = 2623613372689
BaseRepresentation
bin100101111000111110…
…1101001101011000000
321210000201220110212222
41023301331221223000
52313120413204411
6101214053310212
75610253040543
oct1136175515300
9253021813788
1081368881856
11315656812a9
121392a335368
137899909692
143d1c8aa85a
1521b37684db
hex12f1f69ac0

81368881856 has 112 divisors (see below), whose sum is σ = 171820758720. Its totient is φ = 38149816320.

The previous prime is 81368881849. The next prime is 81368881883. The reversal of 81368881856 is 65818886318.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 30258560 + ... + 30261248.

Almost surely, 281368881856 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 81368881856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85910379360).

81368881856 is an abundant number, since it is smaller than the sum of its proper divisors (90451876864).

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

81368881856 is a wasteful number, since it uses less digits than its factorization.

81368881856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3112 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 62.

The spelling of 81368881856 in words is "eighty-one billion, three hundred sixty-eight million, eight hundred eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 61 64 92 122 184 244 337 368 488 674 736 976 1348 1403 1472 1952 2689 2696 2806 3904 5378 5392 5612 7751 10756 10784 11224 15502 20557 21512 21568 22448 31004 41114 43024 44896 61847 62008 82228 86048 89792 123694 124016 164029 164456 172096 247388 248032 328058 328912 472811 494776 496064 656116 657824 906193 945622 989552 1312232 1315648 1812386 1891244 1979104 2624464 3624772 3772667 3782488 3958208 5248928 7249544 7545334 7564976 10497856 14499088 15090668 15129952 20842439 28998176 30181336 30259904 41684878 55277773 57996352 60362672 83369756 110555546 120725344 166739512 221111092 241450688 333479024 442222184 666958048 884444368 1271388779 1333916096 1768888736 2542777558 3537777472 5085555116 10171110232 20342220464 40684440928 81368881856