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126299013372 = 22337178993383
BaseRepresentation
bin111010110100000000…
…0100000000011111100
3110001222222212122102000
41311220000200003330
54032130021411442
6134004310102300
712060543620610
oct1655000400374
9401888778360
10126299013372
11496215560a4
122058934a990
13bbaa1c6b0c
146181b4d340
153442ea4d4c
hex1d680200fc

126299013372 has 96 divisors (see below), whose sum is σ = 374432486400. Its totient is φ = 36064875456.

The previous prime is 126299013349. The next prime is 126299013439. The reversal of 126299013372 is 273310992621.

126299013372 is a `hidden beast` number, since 1 + 2 + 629 + 9 + 0 + 13 + 3 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1305793 + ... + 1399175.

It is an arithmetic number, because the mean of its divisors is an integer number (3900338400).

Almost surely, 2126299013372 is an apocalyptic number.

126299013372 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 126299013372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187216243200).

126299013372 is an abundant number, since it is smaller than the sum of its proper divisors (248133473028).

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

126299013372 is a wasteful number, since it uses less digits than its factorization.

126299013372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95192 (or 95184 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 126299013372 in words is "one hundred twenty-six billion, two hundred ninety-nine million, thirteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1789 3578 5367 7156 10734 12523 16101 21468 25046 32202 37569 48303 50092 64404 75138 93383 96606 112707 150276 186766 193212 225414 280149 338121 373532 450828 560298 653681 676242 840447 1120596 1307362 1352484 1680894 1961043 2521341 2614724 3361788 3922086 5042682 5883129 7844172 10085364 11766258 17649387 23532516 35298774 70597548 167062187 334124374 501186561 668248748 1002373122 1169435309 1503559683 2004746244 2338870618 3007119366 3508305927 4510679049 4677741236 6014238732 7016611854 9021358098 10524917781 14033223708 18042716196 21049835562 31574753343 42099671124 63149506686 126299013372