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112997768868390 = 23573791908774383
BaseRepresentation
bin11001101100010101010111…
…110111111011001000100110
3112211002110222210112211101010
4121230111113313323020212
5104302323412312242030
61040154243002243050
732541551023464030
oct3154252767731046
9484073883484333
10112997768868390
11330060a275374a
121080b8841b6486
134b0884a7bc933
141dc919a7b4c50
15d0e4e813a6b0
hex66c557dfb226

112997768868390 has 128 divisors (see below), whose sum is σ = 310774971432960. Its totient is φ = 25758217634688.

The previous prime is 112997768868389. The next prime is 112997768868419. The reversal of 112997768868390 is 93868867799211.

It is a super-2 number, since 2×1129977688683902 (a number of 29 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 63 ways as a sum of consecutive naturals, for example, 1519097139 + ... + 1519171521.

It is an arithmetic number, because the mean of its divisors is an integer number (2427929464320).

Almost surely, 2112997768868390 is an apocalyptic number.

112997768868390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112997768868390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155387485716480).

112997768868390 is an abundant number, since it is smaller than the sum of its proper divisors (197777202564570).

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

112997768868390 is a wasteful number, since it uses less digits than its factorization.

112997768868390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93866.

The product of its (nonzero) digits is 3950456832, while the sum is 84.

The spelling of 112997768868390 in words is "one hundred twelve trillion, nine hundred ninety-seven billion, seven hundred sixty-eight million, eight hundred sixty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 379 758 1137 1895 2274 2653 3790 5306 5685 7959 11370 13265 15918 19087 26530 38174 39795 57261 74383 79590 95435 114522 133609 148766 190870 223149 267218 286305 371915 400827 446298 520681 572610 668045 743830 801654 1041362 1115745 1336090 1562043 2004135 2231490 2603405 3124086 4008270 5206810 7233973 7810215 14467946 15620430 21701919 28191157 36169865 43403838 50637811 56382314 72339730 84573471 101275622 108509595 140955785 151913433 169146942 197338099 217019190 253189055 281911570 303826866 394676198 422867355 506378110 592014297 759567165 845734710 986690495 1184028594 1419748321 1519134330 1973380990 2839496642 2960071485 4259244963 5920142970 7098741605 8518489926 9938238247 14197483210 19876476494 21296224815 29814714741 42592449630 49691191235 59629429482 99382382470 149073573705 298147147410 538084613659 1076169227318 1614253840977 2690423068295 3228507681954 3766592295613 5380846136590 7533184591226 8071269204885 11299776886839 16142538409770 18832961478065 22599553773678 37665922956130 56498884434195 112997768868390