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10885997056 = 291117671697
BaseRepresentation
bin10100010001101101…
…10010001000000000
31001002122220221121011
422020312302020000
5134243303401211
65000112410304
7533523306514
oct121066621000
931078827534
1010885997056
114686952790
122139846994
13104642029c
14753ab6144
1543aa70921
hex288db2200

10885997056 has 160 divisors (see below), whose sum is σ = 25513849152. Its totient is φ = 4584898560.

The previous prime is 10885997051. The next prime is 10885997071. The reversal of 10885997056 is 65079958801.

It is not an unprimeable number, because it can be changed into a prime (10885997051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6414000 + ... + 6415696.

Almost surely, 210885997056 is an apocalyptic number.

10885997056 is a gapful number since it is divisible by the number (16) 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 10885997056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12756924576).

10885997056 is an abundant number, since it is smaller than the sum of its proper divisors (14627852096).

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

10885997056 is a wasteful number, since it uses less digits than its factorization.

10885997056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 58.

The spelling of 10885997056 in words is "ten billion, eight hundred eighty-five million, nine hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 67 68 88 128 134 136 176 187 256 268 272 352 374 512 536 544 704 737 748 1072 1088 1139 1408 1474 1496 1697 2144 2176 2278 2816 2948 2992 3394 4288 4352 4556 5632 5896 5984 6788 8576 8704 9112 11792 11968 12529 13576 17152 18224 18667 23584 23936 25058 27152 28849 34304 36448 37334 47168 47872 50116 54304 57698 72896 74668 94336 95744 100232 108608 113699 115396 145792 149336 188672 200464 217216 227398 230792 291584 298672 317339 377344 400928 434432 454796 461584 583168 597344 634678 801856 868864 909592 923168 1194688 1250689 1269356 1603712 1819184 1846336 1932883 2389376 2501378 2538712 3207424 3638368 3692672 3865766 4778752 5002756 5077424 6414848 7276736 7385344 7731532 9557504 10005512 10154848 14553472 14770688 15463064 20011024 20309696 21261713 29106944 30926128 40022048 40619392 42523426 58213888 61852256 80044096 81238784 85046852 123704512 160088192 162477568 170093704 247409024 320176384 340187408 494818048 640352768 680374816 989636096 1360749632 2721499264 5442998528 10885997056