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126394368912 = 24327235451793
BaseRepresentation
bin111010110110110110…
…0010000001110010000
3110002020122022012121200
41311231230100032100
54032323424301122
6134021553551200
712063112260240
oct1655554201620
9402218265550
10126394368912
1149670365129
12205b5275500
13bbc3ba2606
146190691b20
15344b53d5ac
hex1d6db10390

126394368912 has 120 divisors (see below), whose sum is σ = 421838012544. Its totient is φ = 34542554112.

The previous prime is 126394368911. The next prime is 126394368913. The reversal of 126394368912 is 219863493621.

126394368912 is a `hidden beast` number, since 1 + 263 + 9 + 4 + 368 + 9 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (126394368911) and next prime (126394368913).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (126394368911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2702713 + ... + 2749080.

Almost surely, 2126394368912 is an apocalyptic number.

126394368912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126394368912 is an abundant number, since it is smaller than the sum of its proper divisors (295443643632).

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

126394368912 is a wasteful number, since it uses less digits than its factorization.

126394368912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5451837 (or 5451828 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 126394368912 in words is "one hundred twenty-six billion, three hundred ninety-four million, three hundred sixty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 5796 7728 11592 23184 5451793 10903586 16355379 21807172 32710758 38162551 43614344 49066137 65421516 76325102 87228688 98132274 114487653 125391239 130843032 152650204 196264548 228975306 250782478 261686064 305300408 343462959 376173717 392529096 457950612 501564956 610600816 686925918 752347434 785058192 877738673 915901224 1003129912 1128521151 1373851836 1504694868 1755477346 1831802448 2006259824 2257042302 2633216019 2747703672 3009389736 3510954692 4514084604 5266432038 5495407344 6018779472 7021909384 7899648057 9028169208 10532864076 14043818768 15799296114 18056338416 21065728152 31598592228 42131456304 63197184456 126394368912