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11827312344 = 23327110092293
BaseRepresentation
bin10110000001111011…
…00111011011011000
31010112021011201102100
423000331213123120
5143210242443334
65233340203400
7566043332121
oct130075473330
933467151370
1011827312344
11501a233901
122360b39560
131166451093
14802b09048
1549350dc99
hex2c0f676d8

11827312344 has 96 divisors (see below), whose sum is σ = 32529837600. Its totient is φ = 3881364480.

The previous prime is 11827312319. The next prime is 11827312351. The reversal of 11827312344 is 44321372811.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11827312299 and 11827312308.

It is a congruent number.

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, 5156862 + ... + 5159154.

It is an arithmetic number, because the mean of its divisors is an integer number (338852475).

Almost surely, 211827312344 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 11827312344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16264918800).

11827312344 is an abundant number, since it is smaller than the sum of its proper divisors (20702525256).

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

11827312344 is a wasteful number, since it uses less digits than its factorization.

11827312344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3378 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The spelling of 11827312344 in words is "eleven billion, eight hundred twenty-seven million, three hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1009 1278 1704 2018 2293 2556 3027 4036 4586 5112 6054 6879 8072 9081 9172 12108 13758 18162 18344 20637 24216 27516 36324 41274 55032 71639 72648 82548 143278 162803 165096 214917 286556 325606 429834 488409 573112 644751 651212 859668 976818 1289502 1302424 1465227 1719336 1953636 2313637 2579004 2930454 3907272 4627274 5158008 5860908 6940911 9254548 11721816 13881822 18509096 20822733 27763644 41645466 55527288 83290932 164268227 166581864 328536454 492804681 657072908 985609362 1314145816 1478414043 1971218724 2956828086 3942437448 5913656172 11827312344