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112363276320 = 25325235416271
BaseRepresentation
bin110100010100101011…
…1111000100000100000
3101202000210022212000200
41220221113320200200
53320104444320240
6123341410545200
711055316042611
oct1505127704040
9352023285020
10112363276320
114372015a639
121993a298200
13a798cc8369
14561d003c08
152dc9817930
hex1a295f8820

112363276320 has 288 divisors, whose sum is σ = 400914468864. Its totient is φ = 28603238400.

The previous prime is 112363276309. The next prime is 112363276339. The reversal of 112363276320 is 23672363211.

112363276320 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 6 + 327 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17914785 + ... + 17921055.

It is an arithmetic number, because the mean of its divisors is an integer number (1392064128).

Almost surely, 2112363276320 is an apocalyptic number.

112363276320 is a gapful number since it is divisible by the number (10) 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 112363276320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200457234432).

112363276320 is an abundant number, since it is smaller than the sum of its proper divisors (288551192544).

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

112363276320 is a wasteful number, since it uses less digits than its factorization.

112363276320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6856 (or 6845 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 112363276320 in words is "one hundred twelve billion, three hundred sixty-three million, two hundred seventy-six thousand, three hundred twenty".