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12718197648 = 24321359115151
BaseRepresentation
bin10111101100001000…
…00100101110010000
31012211100112101022100
423312010010232100
5202021324311043
65502003040400
7630111616302
oct136604045620
935740471270
1012718197648
115437100152
12256b370100
131278ba5b50
14889171972
154e6839cd3
hex2f6104b90

12718197648 has 120 divisors (see below), whose sum is σ = 38981255040. Its totient is φ = 3846931200.

The previous prime is 12718197617. The next prime is 12718197757. The reversal of 12718197648 is 84679181721.

It is a junction number, because it is equal to n+sod(n) for n = 12718197594 and 12718197603.

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, 52873 + ... + 168023.

It is an arithmetic number, because the mean of its divisors is an integer number (324843792).

Almost surely, 212718197648 is an apocalyptic number.

12718197648 is a gapful number since it is divisible by the number (18) 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 12718197648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19490627520).

12718197648 is an abundant number, since it is smaller than the sum of its proper divisors (26263057392).

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

12718197648 is a wasteful number, since it uses less digits than its factorization.

12718197648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115237 (or 115228 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The spelling of 12718197648 in words is "twelve billion, seven hundred eighteen million, one hundred ninety-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 59 72 78 104 117 118 144 156 177 208 234 236 312 354 468 472 531 624 708 767 936 944 1062 1416 1534 1872 2124 2301 2832 3068 4248 4602 6136 6903 8496 9204 12272 13806 18408 27612 36816 55224 110448 115151 230302 345453 460604 690906 921208 1036359 1381812 1496963 1842416 2072718 2763624 2993926 4145436 4490889 5527248 5987852 6793909 8290872 8981778 11975704 13472667 13587818 16581744 17963556 20381727 23951408 26945334 27175636 35927112 40763454 53890668 54351272 61145181 71854224 81526908 88320817 107781336 108702544 122290362 163053816 176641634 215562672 244580724 264962451 326107632 353283268 489161448 529924902 706566536 794887353 978322896 1059849804 1413133072 1589774706 2119699608 3179549412 4239399216 6359098824 12718197648