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10083850656 = 253119549101
BaseRepresentation
bin10010110010000101…
…10101100110100000
3222000202112200121020
421121002311212200
5131122431210111
64344335525440
7504613213335
oct113102654640
928022480536
1010083850656
114305086280
121b55089880
13c49198449
146b934c98c
153e0422906
hex2590b59a0

10083850656 has 48 divisors (see below), whose sum is σ = 28876484448. Its totient is φ = 3055712000.

The previous prime is 10083850607. The next prime is 10083850669. The reversal of 10083850656 is 65605838001.

It is a tau number, because it is divible by the number of its divisors (48).

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, 4773495 + ... + 4775606.

It is an arithmetic number, because the mean of its divisors is an integer number (601593426).

Almost surely, 210083850656 is an apocalyptic number.

10083850656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10083850656 is an abundant number, since it is smaller than the sum of its proper divisors (18792633792).

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

10083850656 is a wasteful number, since it uses less digits than its factorization.

10083850656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9549125 (or 9549117 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 10083850656 in words is "ten billion, eighty-three million, eight hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 9549101 19098202 28647303 38196404 57294606 76392808 105040111 114589212 152785616 210080222 229178424 305571232 315120333 420160444 458356848 630240666 840320888 916713696 1260481332 1680641776 2520962664 3361283552 5041925328 10083850656