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12718316952 = 23331137144671
BaseRepresentation
bin10111101100001001…
…00001110110011000
31012211100202102222000
423312010201312120
5202021342120302
65502005401000
7630112624155
oct136604416630
935740672860
1012718316952
115437181850
12256b409160
131278c18243
148891a322c
154e686031c
hex2f6121d98

12718316952 has 128 divisors (see below), whose sum is σ = 39582259200. Its totient is φ = 3749846400.

The previous prime is 12718316929. The next prime is 12718316953. The reversal of 12718316952 is 25961381721.

It is a junction number, because it is equal to n+sod(n) for n = 12718316898 and 12718316907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12718316953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15577 + ... + 160247.

It is an arithmetic number, because the mean of its divisors is an integer number (309236400).

Almost surely, 212718316952 is an apocalyptic number.

12718316952 is a gapful number since it is divisible by the number (12) 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 12718316952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19791129600).

12718316952 is an abundant number, since it is smaller than the sum of its proper divisors (26863942248).

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

12718316952 is a wasteful number, since it uses less digits than its factorization.

12718316952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144734 (or 144724 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 12718316952 in words is "twelve billion, seven hundred eighteen million, three hundred sixteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 37 44 54 66 72 74 88 99 108 111 132 148 198 216 222 264 296 297 333 396 407 444 594 666 792 814 888 999 1188 1221 1332 1628 1998 2376 2442 2664 3256 3663 3996 4884 7326 7992 9768 10989 14652 21978 29304 43956 87912 144671 289342 434013 578684 868026 1157368 1302039 1591381 1736052 2604078 3182762 3472104 3906117 4774143 5208156 5352827 6365524 7812234 9548286 10416312 10705654 12731048 14322429 15624468 16058481 19096572 21411308 28644858 31248936 32116962 38193144 42822616 42967287 48175443 57289716 58881097 64233924 85934574 96350886 114579432 117762194 128467848 144526329 171869148 176643291 192701772 235524388 289052658 343738296 353286582 385403544 471048776 529929873 578105316 706573164 1059859746 1156210632 1413146328 1589789619 2119719492 3179579238 4239438984 6359158476 12718316952