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12912685956 = 22345921072
BaseRepresentation
bin11000000011010011…
…11111001110000100
31020022220111102010000
430001221333032010
5202421121422311
65533151401300
7634663006512
oct140151771604
936286442100
1012912685956
115526969095
122604523230
1312aa2804a1
148a6d1b4b2
15508956056
hex301a7f384

12912685956 has 135 divisors (see below), whose sum is σ = 34662066439. Its totient is φ = 4191730992.

The previous prime is 12912685943. The next prime is 12912685963. The reversal of 12912685956 is 65958621921.

The square root of 12912685956 is 113634.

It is a perfect power (a square), and thus also a powerful number.

12912685956 is a `hidden beast` number, since 1 + 29 + 1 + 26 + 8 + 595 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 120679255 + ... + 120679361.

Almost surely, 212912685956 is an apocalyptic number.

12912685956 is the 113634-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12912685956

12912685956 is an abundant number, since it is smaller than the sum of its proper divisors (21749380483).

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

12912685956 is an equidigital number, since it uses as much as digits as its factorization.

12912685956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 171 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The spelling of 12912685956 in words is "twelve billion, nine hundred twelve million, six hundred eighty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 107 108 118 162 177 214 236 321 324 354 428 531 642 708 963 1062 1284 1593 1926 2124 2889 3186 3481 3852 4779 5778 6313 6372 6962 8667 9558 10443 11449 11556 12626 13924 17334 18939 19116 20886 22898 25252 31329 34347 34668 37878 41772 45796 56817 62658 68694 75756 93987 103041 113634 125316 137388 170451 187974 206082 227268 281961 309123 340902 372467 375948 412164 511353 563922 618246 675491 681804 744934 927369 1022706 1117401 1127844 1236492 1350982 1489868 1854738 2026473 2045412 2234802 2701964 3352203 3709476 4052946 4469604 6079419 6704406 8105892 10056609 12158838 13408812 18238257 20113218 24317676 30169827 36476514 39853969 40226436 54714771 60339654 72953028 79707938 109429542 119561907 120679308 159415876 218859084 239123814 358685721 478247628 717371442 1076057163 1434742884 2152114326 3228171489 4304228652 6456342978 12912685956