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12158993184 = 2531345721319
BaseRepresentation
bin10110101001011101…
…11000001100100000
31011101101021211222220
423110232320030200
5144400200240214
65330305231040
7610211510502
oct132456701440
934341254886
1012158993184
11517a4865a8
122434032480
1311ba091c30
14834ba7d72
154b26c99a9
hex2d4bb8320

12158993184 has 96 divisors (see below), whose sum is σ = 34449367680. Its totient is φ = 3732867072.

The previous prime is 12158993179. The next prime is 12158993221. The reversal of 12158993184 is 48139985121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×121589931842 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559677 + ... + 580995.

It is an arithmetic number, because the mean of its divisors is an integer number (358847580).

Almost surely, 212158993184 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 12158993184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17224683840).

12158993184 is an abundant number, since it is smaller than the sum of its proper divisors (22290374496).

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

12158993184 is a wasteful number, since it uses less digits than its factorization.

12158993184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21802 (or 21794 counting only the distinct ones).

The product of its digits is 622080, while the sum is 51.

The spelling of 12158993184 in words is "twelve billion, one hundred fifty-eight million, nine hundred ninety-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 457 624 914 1248 1371 1828 2742 3656 5484 5941 7312 10968 11882 14624 17823 21319 21936 23764 35646 42638 43872 47528 63957 71292 85276 95056 127914 142584 170552 190112 255828 277147 285168 341104 511656 554294 570336 682208 831441 1023312 1108588 1662882 2046624 2217176 3325764 4434352 6651528 8868704 9742783 13303056 19485566 26606112 29228349 38971132 58456698 77942264 116913396 126656179 155884528 233826792 253312358 311769056 379968537 467653584 506624716 759937074 935307168 1013249432 1519874148 2026498864 3039748296 4052997728 6079496592 12158993184