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9991412232 = 2334369114011
BaseRepresentation
bin10010100111000100…
…01101101000001000
3221210022121022220220
421103202031220020
5130430300142412
64331234350040
7502411413504
oct112342155010
927708538826
109991412232
11426798998a
121b2a12b320
13c32ca1659
146aad69304
153d726368c
hex25388da08

9991412232 has 64 divisors (see below), whose sum is σ = 25598242560. Its totient is φ = 3248078400.

The previous prime is 9991412213. The next prime is 9991412237. The reversal of 9991412232 is 2322141999.

It is not an unprimeable number, because it can be changed into a prime (9991412237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706107 + ... + 720117.

It is an arithmetic number, because the mean of its divisors is an integer number (399972540).

Almost surely, 29991412232 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 9991412232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12799121280).

9991412232 is an abundant number, since it is smaller than the sum of its proper divisors (15606830328).

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

9991412232 is a wasteful number, since it uses less digits than its factorization.

9991412232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14754 (or 14750 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 9991412232 is about 99957.0519373196. The cubic root of 9991412232 is about 2153.8177872279.

The spelling of 9991412232 in words is "nine billion, nine hundred ninety-one million, four hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 691 1032 1382 2073 2764 4146 5528 8292 14011 16584 28022 29713 42033 56044 59426 84066 89139 112088 118852 168132 178278 237704 336264 356556 602473 713112 1204946 1807419 2409892 3614838 4819784 7229676 9681601 14459352 19363202 29044803 38726404 58089606 77452808 116179212 232358424 416308843 832617686 1248926529 1665235372 2497853058 3330470744 4995706116 9991412232