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112768358112 = 2534160727073
BaseRepresentation
bin110100100000110000…
…1001001011011100000
3101210002000120010210000
41221001201021123200
53321422144424422
6123445521140000
711101335141234
oct1510141113340
9353060503700
10112768358112
1143908886583
1219a31a8a600
13a831bc8a27
14565ab2c5c4
152e00181cac
hex1a418496e0

112768358112 has 120 divisors (see below), whose sum is σ = 331867244016. Its totient is φ = 37564674048.

The previous prime is 112768358081. The next prime is 112768358147. The reversal of 112768358112 is 211853867211.

112768358112 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 68 + 3 + 581 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4151808 + ... + 4178880.

Almost surely, 2112768358112 is an apocalyptic number.

112768358112 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 112768358112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165933622008).

112768358112 is an abundant number, since it is smaller than the sum of its proper divisors (219098885904).

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

112768358112 is a wasteful number, since it uses less digits than its factorization.

112768358112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28702 (or 28685 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The spelling of 112768358112 in words is "one hundred twelve billion, seven hundred sixty-eight million, three hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1607 2592 3214 4821 6428 9642 12856 14463 19284 25712 27073 28926 38568 43389 51424 54146 57852 77136 81219 86778 108292 115704 130167 154272 162438 173556 216584 231408 243657 260334 324876 347112 433168 462816 487314 520668 649752 694224 730971 866336 974628 1041336 1299504 1388448 1461942 1949256 2082672 2192913 2599008 2923884 3898512 4165344 4385826 5847768 7797024 8771652 11695536 17543304 23391072 35086608 43506311 70173216 87012622 130518933 174025244 261037866 348050488 391556799 522075732 696100976 783113598 1044151464 1174670397 1392201952 1566227196 2088302928 2349340794 3132454392 3524011191 4176605856 4698681588 6264908784 7048022382 9397363176 12529817568 14096044764 18794726352 28192089528 37589452704 56384179056 112768358112