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112560313536 = 263211314789137
BaseRepresentation
bin110100011010100011…
…1100001010011000000
3101202112112002101021100
41220311013201103000
53321010420013121
6123413130054400
711063230610256
oct1506507412300
9352475071240
10112560313536
11438113a9610
121999427a400
13a7caa85c28
14563b2545d6
152ddbc89026
hex1a351e14c0

112560313536 has 672 divisors, whose sum is σ = 377955901440. Its totient is φ = 31710412800.

The previous prime is 112560313531. The next prime is 112560313549. The reversal of 112560313536 is 635313065211.

112560313536 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 603 + 13 + 5 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112560313536.

It is not an unprimeable number, because it can be changed into a prime (112560313531) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 821608060 + ... + 821608196.

Almost surely, 2112560313536 is an apocalyptic number.

112560313536 is a gapful number since it is divisible by the number (16) 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 112560313536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188977950720).

112560313536 is an abundant number, since it is smaller than the sum of its proper divisors (265395587904).

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

112560313536 is a wasteful number, since it uses less digits than its factorization.

112560313536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 112560313536 its reverse (635313065211), we get a palindrome (747873378747).

The spelling of 112560313536 in words is "one hundred twelve billion, five hundred sixty million, three hundred thirteen thousand, five hundred thirty-six".