Search a number
-
+
12158870976 = 263272430799
BaseRepresentation
bin10110101001011100…
…11010010111000000
31011101101001122100200
423110232122113000
5144400132332401
65330302445200
7610210461300
oct132456322700
934341048320
1012158870976
11517a4027aa
122433b93800
1311ba04b415
14834b75600
154b26a3686
hex2d4b9a5c0

12158870976 has 126 divisors (see below), whose sum is σ = 40541295600. Its totient is φ = 3473955072.

The previous prime is 12158870959. The next prime is 12158870987. The reversal of 12158870976 is 67907885121.

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×121588709762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 187176 + ... + 243623.

Almost surely, 212158870976 is an apocalyptic number.

12158870976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12158870976 is an abundant number, since it is smaller than the sum of its proper divisors (28382424624).

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

12158870976 is a wasteful number, since it uses less digits than its factorization.

12158870976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430831 (or 430811 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

It can be divided in two parts, 12158870 and 976, that added together give a triangular number (12159846 = T4931).

The spelling of 12158870976 in words is "twelve billion, one hundred fifty-eight million, eight hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 430799 861598 1292397 1723196 2584794 3015593 3446392 3877191 5169588 6031186 6892784 7754382 9046779 10339176 12062372 13785568 15508764 18093558 20678352 21109151 24124744 27140337 27571136 31017528 36187116 41356704 42218302 48249488 54280674 62035056 63327453 72374232 82713408 84436604 96498976 108561348 124070112 126654906 144748464 168873208 189982359 192997952 217122696 248140224 253309812 289496928 337746416 379964718 434245392 506619624 578993856 675492832 759929436 868490784 1013239248 1350985664 1519858872 1736981568 2026478496 3039717744 4052956992 6079435488 12158870976