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10758799872 = 29325344053
BaseRepresentation
bin10100000010100011…
…00100001000000000
31000202210120122212100
422001101210020000
5134013223043442
64535330230400
7530420201322
oct120121441000
930683518770
1010758799872
114621075647
122103125400
131025c76492
14740c45612
1542e7e784c
hex281464200

10758799872 has 120 divisors (see below), whose sum is σ = 31637203884. Its totient is φ = 3518521344.

The previous prime is 10758799867. The next prime is 10758799927. The reversal of 10758799872 is 27899785701.

It can be written as a sum of positive squares in 2 ways, for example, as 10189691136 + 569108736 = 100944^2 + 23856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222198 + ... + 266250.

Almost surely, 210758799872 is an apocalyptic number.

10758799872 is a gapful number since it is divisible by the number (12) 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 10758799872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15818601942).

10758799872 is an abundant number, since it is smaller than the sum of its proper divisors (20878404012).

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

10758799872 is an equidigital number, since it uses as much as digits as its factorization.

10758799872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44130 (or 44111 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 63.

The spelling of 10758799872 in words is "ten billion, seven hundred fifty-eight million, seven hundred ninety-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 512 576 636 768 848 954 1152 1272 1536 1696 1908 2304 2544 3392 3816 4608 5088 6784 7632 10176 13568 15264 20352 27136 30528 40704 44053 61056 81408 88106 122112 132159 176212 244224 264318 352424 396477 528636 704848 792954 1057272 1409696 1585908 2114544 2334809 2819392 3171816 4229088 4669618 5638784 6343632 7004427 8458176 9339236 11277568 12687264 14008854 16916352 18678472 21013281 22555136 25374528 28017708 33832704 37356944 42026562 50749056 56035416 67665408 74713888 84053124 101498112 112070832 149427776 168106248 202996224 224141664 298855552 336212496 448283328 597711104 672424992 896566656 1195422208 1344849984 1793133312 2689699968 3586266624 5379399936 10758799872