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112793325768 = 23333719970921
BaseRepresentation
bin110100100001100000…
…0011001000011001000
3101210010202112121222000
41221003000121003020
53322000042411033
6123452212231000
711102060310234
oct1510300310310
9353122477860
10112793325768
114392098a102
1219a3a30b460
13a83712b2a6
14566018b5c4
152e02464a13
hex1a430190c8

112793325768 has 128 divisors (see below), whose sum is σ = 323404320000. Its totient is φ = 36397278720.

The previous prime is 112793325767. The next prime is 112793325781. The reversal of 112793325768 is 867523397211.

112793325768 is a `hidden beast` number, since 11 + 27 + 9 + 3 + 32 + 576 + 8 = 666.

112793325768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (112793325767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1554948 + ... + 1625868.

It is an arithmetic number, because the mean of its divisors is an integer number (2526596250).

Almost surely, 2112793325768 is an apocalyptic number.

112793325768 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 112793325768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161702160000).

112793325768 is an abundant number, since it is smaller than the sum of its proper divisors (210610994232).

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

112793325768 is a wasteful number, since it uses less digits than its factorization.

112793325768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71172 (or 71162 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 112793325768 in words is "one hundred twelve billion, seven hundred ninety-three million, three hundred twenty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 199 216 222 296 333 398 444 597 666 796 888 999 1194 1332 1592 1791 1998 2388 2664 3582 3996 4776 5373 7164 7363 7992 10746 14328 14726 21492 22089 29452 42984 44178 58904 66267 70921 88356 132534 141842 176712 198801 212763 265068 283684 397602 425526 530136 567368 638289 795204 851052 1276578 1590408 1702104 1914867 2553156 2624077 3829734 5106312 5248154 7659468 7872231 10496308 14113279 15318936 15744462 20992616 23616693 28226558 31488924 42339837 47233386 56453116 62977848 70850079 84679674 94466772 112906232 127019511 141700158 169359348 188933544 254039022 283400316 338718696 381058533 508078044 522191323 566800632 762117066 1016156088 1044382646 1524234132 1566573969 2088765292 3048468264 3133147938 4177530584 4699721907 6266295876 9399443814 12532591752 14099165721 18798887628 28198331442 37597775256 56396662884 112793325768