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10682902944 = 253371766353
BaseRepresentation
bin10011111001100000…
…00010100110100000
31000120111202200212000
421330300002212200
5133334310343234
64524015404000
7525506114430
oct117460024640
930514680760
1010682902944
11459224710a
1220a1823600
13101332185c
14734b2a2c0
15427d04899
hex27cc029a0

10682902944 has 96 divisors (see below), whose sum is σ = 35609696640. Its totient is φ = 3052256256.

The previous prime is 10682902921. The next prime is 10682902987. The reversal of 10682902944 is 44920928601.

10682902944 is a `hidden beast` number, since 10 + 68 + 290 + 294 + 4 = 666.

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

It is a super-2 number, since 2×106829029442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10682902944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877129 + ... + 889224.

It is an arithmetic number, because the mean of its divisors is an integer number (370934340).

Almost surely, 210682902944 is an apocalyptic number.

10682902944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10682902944 is an abundant number, since it is smaller than the sum of its proper divisors (24926793696).

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

10682902944 is a wasteful number, since it uses less digits than its factorization.

10682902944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766379 (or 1766365 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10682902944 in words is "ten billion, six hundred eighty-two million, nine hundred two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 1766353 3532706 5299059 7065412 10598118 12364471 14130824 15897177 21196236 24728942 28261648 31794354 37093413 42392472 47691531 49457884 56523296 63588708 74186826 84784944 95383062 98915768 111280239 127177416 148373652 169569888 190766124 197831536 222560478 254354832 296747304 333840717 381532248 395663072 445120956 508709664 593494608 667681434 763064496 890241912 1186989216 1335362868 1526128992 1780483824 2670725736 3560967648 5341451472 10682902944