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10879977096 = 23322942112377
BaseRepresentation
bin10100010000111111…
…10100011010001000
31001002020121002202200
422020133310122020
5134240233231341
64555335400200
7533421164562
oct121037643210
931066532680
1010879977096
11468351090a
122137823060
1310450c3191
14752d8a332
1543a281db6
hex2887f4688

10879977096 has 96 divisors (see below), whose sum is σ = 30557568600. Its totient is φ = 3493002240.

The previous prime is 10879977077. The next prime is 10879977113. The reversal of 10879977096 is 69077997801.

It can be written as a sum of positive squares in 4 ways, for example, as 3589208100 + 7290768996 = 59910^2 + 85386^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 872860 + ... + 885236.

Almost surely, 210879977096 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 10879977096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15278784300).

10879977096 is an abundant number, since it is smaller than the sum of its proper divisors (19677591504).

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

10879977096 is a wasteful number, since it uses less digits than its factorization.

10879977096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12839 (or 12832 counting only the distinct ones).

The product of its (nonzero) digits is 12002256, while the sum is 63.

The spelling of 10879977096 in words is "ten billion, eight hundred seventy-nine million, nine hundred seventy-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 421 522 696 842 1044 1263 1684 2088 2526 3368 3789 5052 7578 10104 12209 12377 15156 24418 24754 30312 36627 37131 48836 49508 73254 74262 97672 99016 109881 111393 146508 148524 219762 222786 293016 297048 358933 439524 445572 717866 879048 891144 1076799 1435732 2153598 2871464 3230397 4307196 5210717 6460794 8614392 10421434 12921588 15632151 20842868 25843176 31264302 41685736 46896453 62528604 93792906 125057208 151110793 187585812 302221586 375171624 453332379 604443172 906664758 1208886344 1359997137 1813329516 2719994274 3626659032 5439988548 10879977096