Search a number
-
+
12714104676 = 22372131987541
BaseRepresentation
bin10111101011101000…
…11101011101100100
31012211001211102210210
423311310131131210
5202014302322201
65501335215420
7630032051400
oct136564353544
935731742723
1012714104676
115434865029
122569b17570
1312780a1b80
148887c8100
154e62cc1d6
hex2f5d1d764

12714104676 has 144 divisors (see below), whose sum is σ = 39120768960. Its totient is φ = 3176651520.

The previous prime is 12714104659. The next prime is 12714104707. The reversal of 12714104676 is 67640141721.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101466 + ... + 189006.

Almost surely, 212714104676 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 12714104676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19560384480).

12714104676 is an abundant number, since it is smaller than the sum of its proper divisors (26406664284).

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

12714104676 is a wasteful number, since it uses less digits than its factorization.

12714104676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87594 (or 87585 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 12714104676 in words is "twelve billion, seven hundred fourteen million, one hundred four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 49 52 57 76 78 84 91 98 114 133 147 156 182 196 228 247 266 273 294 364 399 494 532 546 588 637 741 798 931 988 1092 1274 1482 1596 1729 1862 1911 2548 2793 2964 3458 3724 3822 5187 5586 6916 7644 10374 11172 12103 20748 24206 36309 48412 72618 87541 145236 175082 262623 350164 525246 612787 1050492 1138033 1225574 1663279 1838361 2276066 2451148 3326558 3414099 3676722 4289509 4552132 4989837 6653116 6828198 7353444 7966231 8579018 9979674 11642953 12868527 13656396 15932462 17158036 19959348 21622627 23285906 23898693 25737054 31864924 34928859 43245254 46571812 47797386 51474108 55763617 64867881 69857718 81500671 86490508 95594772 111527234 129735762 139715436 151358389 163001342 167290851 223054468 244502013 259471524 302716778 326002684 334581702 454075167 489004026 605433556 669163404 908150334 978008052 1059508723 1816300668 2119017446 3178526169 4238034892 6357052338 12714104676