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10086398976 = 210319172807
BaseRepresentation
bin10010110010011001…
…00011110000000000
3222000221100011020110
421121030203300000
5131124104231401
64344510311320
7504643656003
oct113114436000
928027304213
1010086398976
114306566925
121b55ab8540
13c4987b324
146b981353a
153e07779d6
hex259323c00

10086398976 has 88 divisors (see below), whose sum is σ = 28299038080. Its totient is φ = 3185160192.

The previous prime is 10086398953. The next prime is 10086398989. The reversal of 10086398976 is 67989368001.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28036 + ... + 144771.

Almost surely, 210086398976 is an apocalyptic number.

10086398976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10086398976 is an abundant number, since it is smaller than the sum of its proper divisors (18212639104).

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

10086398976 is a wasteful number, since it uses less digits than its factorization.

10086398976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172849 (or 172831 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 10086398976 in words is "ten billion, eighty-six million, three hundred ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2432 3072 3648 4864 7296 9728 14592 19456 29184 58368 172807 345614 518421 691228 1036842 1382456 2073684 2764912 3283333 4147368 5529824 6566666 8294736 9849999 11059648 13133332 16589472 19699998 22119296 26266664 33178944 39399996 44238592 52533328 66357888 78799992 88477184 105066656 132715776 157599984 176954368 210133312 265431552 315199968 420266624 530863104 630399936 840533248 1260799872 1681066496 2521599744 3362132992 5043199488 10086398976