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10442096715888 = 2432891321616783
BaseRepresentation
bin1001011111110011110101…
…1101110010100001110000
31100222020212200012100210200
42113330331131302201300
52332040403224402023
634113011043555200
72125262614414365
oct227747535624160
940866780170720
1010442096715888
11336651740a102
1212078b908bb00
135a98bb0571b6
1428158613246c
1513195243c743
hex97f3d772870

10442096715888 has 120 divisors (see below), whose sum is σ = 29574139008960. Its totient is φ = 3438979061760.

The previous prime is 10442096715881. The next prime is 10442096715893. The reversal of 10442096715888 is 88851769024401.

10442096715888 is a `hidden beast` number, since 1 + 0 + 4 + 42 + 0 + 9 + 6 + 7 + 1 + 588 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442096715881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16621545 + ... + 17238327.

It is an arithmetic number, because the mean of its divisors is an integer number (246451158408).

Almost surely, 210442096715888 is an apocalyptic number.

10442096715888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10442096715888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14787069504480).

10442096715888 is an abundant number, since it is smaller than the sum of its proper divisors (19132042293072).

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

10442096715888 is a wasteful number, since it uses less digits than its factorization.

10442096715888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618207 (or 618198 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 10442096715888 in words is "ten trillion, four hundred forty-two billion, ninety-six million, seven hundred fifteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1321 1424 1602 2136 2642 3204 3963 4272 5284 6408 7926 10568 11889 12816 15852 21136 23778 31704 47556 63408 95112 117569 190224 235138 352707 470276 616783 705414 940552 1058121 1233566 1410828 1850349 1881104 2116242 2467132 2821656 3700698 4232484 4934264 5551047 5643312 7401396 8464968 9868528 11102094 14802792 16929936 22204188 29605584 44408376 54893687 88816752 109787374 164681061 219574748 329362122 439149496 494043183 658724244 814770343 878298992 988086366 1317448488 1629540686 1976172732 2444311029 2634896976 3259081372 3952345464 4888622058 6518162744 7332933087 7904690928 9777244116 13036325488 14665866174 19554488232 29331732348 39108976464 58663464696 72514560527 117326929392 145029121054 217543681581 290058242108 435087363162 580116484216 652631044743 870174726324 1160232968432 1305262089486 1740349452648 2610524178972 3480698905296 5221048357944 10442096715888