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6890012960 = 2551722711159
BaseRepresentation
bin1100110101010110…
…10100000100100000
3122210011202220221012
412122223110010200
5103102320403320
63055404520052
7332512100225
oct63253240440
918704686835
106890012960
112a16261796
121403550028
1385a5a675c
144950c994c
152a4d404c5
hex19aad4120

6890012960 has 96 divisors (see below), whose sum is σ = 17312641920. Its totient is φ = 2582228992.

The previous prime is 6890012951. The next prime is 6890013007. The reversal of 6890012960 is 692100986.

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, 611861 + ... + 623019.

It is an arithmetic number, because the mean of its divisors is an integer number (180340020).

Almost surely, 26890012960 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 6890012960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8656320960).

6890012960 is an abundant number, since it is smaller than the sum of its proper divisors (10422628960).

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

6890012960 is a wasteful number, since it uses less digits than its factorization.

6890012960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11418 (or 11410 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 6890012960 is about 83006.1019443751. The cubic root of 6890012960 is about 1902.8593107454.

The spelling of 6890012960 in words is "six billion, eight hundred ninety million, twelve thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 227 272 340 454 544 680 908 1135 1360 1816 2270 2720 3632 3859 4540 7264 7718 9080 11159 15436 18160 19295 22318 30872 36320 38590 44636 55795 61744 77180 89272 111590 123488 154360 178544 189703 223180 308720 357088 379406 446360 617440 758812 892720 948515 1517624 1785440 1897030 2533093 3035248 3794060 5066186 6070496 7588120 10132372 12665465 15176240 20264744 25330930 30352480 40529488 43062581 50661860 81058976 86125162 101323720 172250324 202647440 215312905 344500648 405294880 430625810 689001296 861251620 1378002592 1722503240 3445006480 6890012960