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112857142788 = 2232134347119321
BaseRepresentation
bin110100100011011001…
…1110101011000000100
3101210022012121212110100
41221012303311120010
53322112412032123
6123502412124100
711103463612545
oct1510663653004
9353265555410
10112857142788
1143953a07845
1219a57766630
13a847413740
1456688404cc
152e07d6d643
hex1a46cf5604

112857142788 has 144 divisors (see below), whose sum is σ = 321058273536. Its totient is φ = 33195778560.

The previous prime is 112857142759. The next prime is 112857142807. The reversal of 112857142788 is 887241758211.

112857142788 is a `hidden beast` number, since 1 + 1 + 28 + 571 + 42 + 7 + 8 + 8 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 886168 + ... + 1005488.

It is an arithmetic number, because the mean of its divisors is an integer number (2229571344).

Almost surely, 2112857142788 is an apocalyptic number.

112857142788 is a gapful number since it is divisible by the number (18) 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 112857142788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160529136768).

112857142788 is an abundant number, since it is smaller than the sum of its proper divisors (208201130748).

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

112857142788 is a wasteful number, since it uses less digits than its factorization.

112857142788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119434 (or 119429 counting only the distinct ones).

The product of its digits is 2007040, while the sum is 54.

The spelling of 112857142788 in words is "one hundred twelve billion, eight hundred fifty-seven million, one hundred forty-two thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 47 52 78 86 94 117 129 141 156 172 188 234 258 282 387 423 468 516 559 564 611 774 846 1118 1222 1548 1677 1692 1833 2021 2236 2444 3354 3666 4042 5031 5499 6063 6708 7332 8084 10062 10998 12126 18189 20124 21996 24252 26273 36378 52546 72756 78819 105092 119321 157638 236457 238642 315276 357963 472914 477284 715926 945828 1073889 1431852 1551173 2147778 3102346 4295556 4653519 5130803 5608087 6204692 9307038 10261606 11216174 13960557 15392409 16824261 18614076 20523212 22432348 27921114 30784818 33648522 46177227 50472783 55842228 61569636 66700439 67297044 72905131 92354454 100945566 133400878 145810262 184708908 200101317 201891132 218715393 241147741 266801756 291620524 400202634 437430786 482295482 600303951 656146179 723443223 800405268 874861572 964590964 1200607902 1312292358 1446886446 2170329669 2401215804 2624584716 2893772892 3134920633 4340659338 6269841266 8681318676 9404761899 12539682532 18809523798 28214285697 37619047596 56428571394 112857142788