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12779366912 = 291316311779
BaseRepresentation
bin10111110011011010…
…11010101000000000
31012222121122002202122
423321231122220000
5202133004220122
65512030103412
7631453553324
oct137155325000
935877562678
1012779366912
11546868a564
12258794ab68
131288772090
14893335984
154ebdbe142
hex2f9b5aa00

12779366912 has 80 divisors (see below), whose sum is σ = 27668958240. Its totient is φ = 5861486592.

The previous prime is 12779366903. The next prime is 12779366923. The reversal of 12779366912 is 21966397721.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1079039 + ... + 1090817.

It is an arithmetic number, because the mean of its divisors is an integer number (345861978).

Almost surely, 212779366912 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 12779366912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13834479120).

12779366912 is an abundant number, since it is smaller than the sum of its proper divisors (14889591328).

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

12779366912 is a wasteful number, since it uses less digits than its factorization.

12779366912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11973 (or 11957 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 53.

The spelling of 12779366912 in words is "twelve billion, seven hundred seventy-nine million, three hundred sixty-six thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 163 208 256 326 416 512 652 832 1304 1664 2119 2608 3328 4238 5216 6656 8476 10432 11779 16952 20864 23558 33904 41728 47116 67808 83456 94232 135616 153127 188464 271232 306254 376928 542464 612508 753856 1084928 1225016 1507712 1919977 2450032 3015424 3839954 4900064 6030848 7679908 9800128 15359816 19600256 24959701 30719632 39200512 49919402 61439264 78401024 99838804 122878528 199677608 245757056 399355216 491514112 798710432 983028224 1597420864 3194841728 6389683456 12779366912