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9977415712 = 2511614191109
BaseRepresentation
bin10010100101011001…
…10100100000100000
3221202100021020022021
421102230310200200
5130413204300322
64330014351224
7502151430355
oct112254644040
927670236267
109977415712
11425aa9a110
121b254bb514
13c301109a4
146a916462c
153d5deb4c7
hex252b34820

9977415712 has 96 divisors (see below), whose sum is σ = 21851726400. Its totient is φ = 4446182400.

The previous prime is 9977415703. The next prime is 9977415733. The reversal of 9977415712 is 2175147799.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9977415712.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8996214 + ... + 8997322.

It is an arithmetic number, because the mean of its divisors is an integer number (227622150).

Almost surely, 29977415712 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 9977415712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10925863200).

9977415712 is an abundant number, since it is smaller than the sum of its proper divisors (11874310688).

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

9977415712 is a wasteful number, since it uses less digits than its factorization.

9977415712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1602 counting only the distinct ones).

The product of its digits is 1111320, while the sum is 52.

The square root of 9977415712 is about 99887.0147316457. The cubic root of 9977415712 is about 2152.8115884142.

The spelling of 9977415712 in words is "nine billion, nine hundred seventy-seven million, four hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 419 488 671 838 976 1109 1342 1676 1952 2218 2684 3352 4436 4609 5368 6704 8872 9218 10736 12199 13408 17744 18436 21472 24398 25559 35488 36872 48796 51118 67649 73744 97592 102236 135298 147488 195184 204472 270596 281149 390368 408944 464671 541192 562298 744139 817888 929342 1082384 1124596 1488278 1858684 2164768 2249192 2976556 3717368 4498384 5111381 5953112 7434736 8996768 10222762 11906224 14869472 20445524 23812448 28344931 40891048 56689862 81782096 113379724 163564192 226759448 311794241 453518896 623588482 907037792 1247176964 2494353928 4988707856 9977415712