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10839233664 = 273271344151
BaseRepresentation
bin10100001100001000…
…11001010010000000
31000222101221010021200
422012010121102000
5134144320434124
64551322221200
7532414652220
oct120604312200
930871833250
1010839233664
114662512756
122126054800
13103982913c
1474b7c2080
154368d4bc9
hex286119480

10839233664 has 96 divisors (see below), whose sum is σ = 35646911040. Its totient is φ = 3096921600.

The previous prime is 10839233663. The next prime is 10839233683. The reversal of 10839233664 is 46633293801.

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

It is not an unprimeable number, because it can be changed into a prime (10839233663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 664012 + ... + 680139.

It is an arithmetic number, because the mean of its divisors is an integer number (371321990).

Almost surely, 210839233664 is an apocalyptic number.

10839233664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10839233664 is an abundant number, since it is smaller than the sum of its proper divisors (24807677376).

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

10839233664 is a wasteful number, since it uses less digits than its factorization.

10839233664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344178 (or 1344163 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 10839233664 in words is "ten billion, eight hundred thirty-nine million, two hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 1344151 2688302 4032453 5376604 8064906 9409057 10753208 12097359 16129812 18818114 21506416 24194718 28227171 32259624 37636228 43012832 48389436 56454342 64519248 75272456 84681513 86025664 96778872 112908684 129038496 150544912 169363026 172051328 193557744 225817368 258076992 301089824 338726052 387115488 451634736 516153984 602179648 677452104 774230976 903269472 1204359296 1354904208 1548461952 1806538944 2709808416 3613077888 5419616832 10839233664