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9919685632 = 21041349677
BaseRepresentation
bin10010011110100001…
…00110010000000000
3221121022122020112011
421033100212100000
5130303414420012
64320153142304
7500550636163
oct111720462000
927538566464
109919685632
1142304496aa
121b0a0ba994
13c21179c8c
146a1617ada
153d0ce61a7
hex24f426400

9919685632 has 88 divisors (see below), whose sum is σ = 20401630200. Its totient is φ = 4817879040.

The previous prime is 9919685597. The next prime is 9919685651. The reversal of 9919685632 is 2365869199.

It can be written as a sum of positive squares in 4 ways, for example, as 3039978496 + 6879707136 = 55136^2 + 82944^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14652078 + ... + 14652754.

Almost surely, 29919685632 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 9919685632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10200815100).

9919685632 is an abundant number, since it is smaller than the sum of its proper divisors (10481944568).

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

9919685632 is a wasteful number, since it uses less digits than its factorization.

9919685632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1069 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 58.

The square root of 9919685632 is about 99597.6186060691. The cubic root of 9919685632 is about 2148.6514443459.

The spelling of 9919685632 in words is "nine billion, nine hundred nineteen million, six hundred eighty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 349 512 656 677 698 1024 1312 1354 1396 2624 2708 2792 5248 5416 5584 10496 10832 11168 14309 20992 21664 22336 27757 28618 41984 43328 44672 55514 57236 86656 89344 111028 114472 173312 178688 222056 228944 236273 346624 357376 444112 457888 472546 693248 888224 915776 945092 1776448 1831552 1890184 3552896 3663104 3780368 7105792 7326208 7560736 9687193 14211584 14652416 15121472 19374386 28423168 30242944 38748772 60485888 77497544 120971776 154995088 241943552 309990176 619980352 1239960704 2479921408 4959842816 9919685632