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12075992364 = 22317376723879
BaseRepresentation
bin10110011111100100…
…10000010100101100
31011011121002222021110
423033302100110230
5144212423223424
65314142232020
7605153145552
oct131762202454
934147088243
1012075992364
115137645887
122410285610
1311a5b20a17
14827b5dbd2
154aa281c29
hex2cfc9052c

12075992364 has 96 divisors (see below), whose sum is σ = 31099783680. Its totient is φ = 3630984192.

The previous prime is 12075992351. The next prime is 12075992443. The reversal of 12075992364 is 46329957021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493777 + ... + 517655.

It is an arithmetic number, because the mean of its divisors is an integer number (323956080).

Almost surely, 212075992364 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 12075992364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15549891840).

12075992364 is an abundant number, since it is smaller than the sum of its proper divisors (19023791316).

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

12075992364 is a wasteful number, since it uses less digits than its factorization.

12075992364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24007 (or 24005 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 12075992364 in words is "twelve billion, seventy-five million, nine hundred ninety-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 37 51 67 68 74 102 111 134 148 201 204 222 268 402 444 629 804 1139 1258 1887 2278 2479 2516 3417 3774 4556 4958 6834 7437 7548 9916 13668 14874 23879 29748 42143 47758 71637 84286 95516 126429 143274 168572 252858 286548 405943 505716 811886 883523 1217829 1599893 1623772 1767046 2435658 2650569 3199786 3534092 4799679 4871316 5301138 6399572 9599358 10602276 15019891 19198716 27198181 30039782 45059673 54396362 59196041 60079564 81594543 90119346 108792724 118392082 163189086 177588123 180238692 236784164 326378172 355176246 710352492 1006332697 2012665394 3018998091 4025330788 6037996182 12075992364