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112601336064 = 283771929131
BaseRepresentation
bin110100011011110010…
…0000000100100000000
3101202122101021112121020
41220313210000210000
53321101420223224
6123421153225440
711064236364420
oct1506744004400
9352571245536
10112601336064
1143832578428
12199a5b62280
13a80641a009
145642892480
152de068dc79
hex1a37900900

112601336064 has 144 divisors (see below), whose sum is σ = 342983854080. Its totient is φ = 32125962240.

The previous prime is 112601336021. The next prime is 112601336087. The reversal of 112601336064 is 460633106211.

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, 3850779 + ... + 3879909.

It is an arithmetic number, because the mean of its divisors is an integer number (2381832320).

Almost surely, 2112601336064 is an apocalyptic number.

112601336064 is a gapful number since it is divisible by the number (14) 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 112601336064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171491927040).

112601336064 is an abundant number, since it is smaller than the sum of its proper divisors (230382518016).

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

112601336064 is an equidigital number, since it uses as much as digits as its factorization.

112601336064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29876 (or 29862 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 112601336064 in words is "one hundred twelve billion, six hundred one million, three hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 719 768 896 1344 1438 1792 2157 2688 2876 4314 5033 5376 5752 8628 10066 11504 15099 17256 20132 23008 29131 30198 34512 40264 46016 58262 60396 69024 80528 87393 92032 116524 120792 138048 161056 174786 184064 203917 233048 241584 276096 322112 349572 407834 466096 483168 552192 611751 644224 699144 815668 932192 966336 1223502 1288448 1398288 1631336 1864384 1932672 2447004 2796576 3262672 3728768 3865344 4894008 5593152 6525344 7457536 9788016 11186304 13050688 19576032 20945189 22372608 26101376 39152064 41890378 52202752 62835567 78304128 83780756 125671134 146616323 156608256 167561512 251342268 293232646 335123024 439848969 502684536 586465292 670246048 879697938 1005369072 1172930584 1340492096 1759395876 2010738144 2345861168 2680984192 3518791752 4021476288 4691722336 5361968384 7037583504 8042952576 9383444672 14075167008 16085905152 18766889344 28150334016 37533778688 56300668032 112601336064