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112566162320 = 24517658112577
BaseRepresentation
bin110100011010101110…
…1110101001110010000
3101202112221002112021222
41220311131311032100
53321013414143240
6123413455304212
711063331410153
oct1506535651620
9352487075258
10112566162320
1143814733917
121999621b068
13a7cc053151
14563bd37c9a
152ddc541eb5
hex1a35775390

112566162320 has 80 divisors (see below), whose sum is σ = 277175549808. Its totient is φ = 42368040960.

The previous prime is 112566162311. The next prime is 112566162323. The reversal of 112566162320 is 23261665211.

It can be written as a sum of positive squares in 8 ways, for example, as 3980095744 + 108586066576 = 63088^2 + 329524^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1125661623202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112566162323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8943872 + ... + 8956448.

Almost surely, 2112566162320 is an apocalyptic number.

112566162320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112566162320 is an abundant number, since it is smaller than the sum of its proper divisors (164609387488).

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

112566162320 is a wasteful number, since it uses less digits than its factorization.

112566162320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19188 (or 19182 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 112566162320 in words is "one hundred twelve billion, five hundred sixty-six million, one hundred sixty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 6581 12577 13162 25154 26324 32905 50308 52648 62885 65810 100616 105296 111877 125770 131620 201232 213809 223754 251540 263240 427618 447508 503080 526480 559385 855236 895016 1006160 1069045 1118770 1710472 1790032 2138090 2237540 3420944 4276180 4475080 8552360 8950160 17104720 82769237 165538474 331076948 413846185 662153896 827692370 1324307792 1407077029 1655384740 2814154058 3310769480 5628308116 6621538960 7035385145 11256616232 14070770290 22513232464 28141540580 56283081160 112566162320