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12109309536 = 2531037011747
BaseRepresentation
bin10110100011100010…
…10110011001100000
31011020220210122211210
423101301112121200
5144244440401121
65321332310120
7606036301302
oct132161263140
934226718753
1012109309536
115154431535
12241b472340
1311ac9b781c
1482c353972
154ad163876
hex2d1c56660

12109309536 has 96 divisors (see below), whose sum is σ = 32159731968. Its totient is φ = 3989260800.

The previous prime is 12109309481. The next prime is 12109309543. The reversal of 12109309536 is 63590390121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12109309494 and 12109309503.

It is a congruent number.

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, 6930615 + ... + 6932361.

It is an arithmetic number, because the mean of its divisors is an integer number (334997208).

Almost surely, 212109309536 is an apocalyptic number.

12109309536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12109309536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16079865984).

12109309536 is an abundant number, since it is smaller than the sum of its proper divisors (20050422432).

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

12109309536 is a wasteful number, since it uses less digits than its factorization.

12109309536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

Adding to 12109309536 its reverse (63590390121), we get a palindrome (75699699657).

The spelling of 12109309536 in words is "twelve billion, one hundred nine million, three hundred nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 701 824 1236 1402 1648 1747 2103 2472 2804 3296 3494 4206 4944 5241 5608 6988 8412 9888 10482 11216 13976 16824 20964 22432 27952 33648 41928 55904 67296 72203 83856 144406 167712 179941 216609 288812 359882 433218 539823 577624 719764 866436 1079646 1155248 1224647 1439528 1732872 2159292 2310496 2449294 2879056 3465744 3673941 4318584 4898588 5758112 6931488 7347882 8637168 9797176 14695764 17274336 19594352 29391528 39188704 58783056 117566112 126138641 252277282 378415923 504554564 756831846 1009109128 1513663692 2018218256 3027327384 4036436512 6054654768 12109309536