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112294232064 = 2173471511
BaseRepresentation
bin110100010010101000…
…0100000000000000000
3101201211222102001010000
41220211100200000000
53314434310411224
6123330503040000
711053520136450
oct1504520400000
9351758361100
10112294232064
1143695191673
121991b140000
13a787902881
145613b8dd60
152dc372a0c9
hex1a25420000

112294232064 has 360 divisors, whose sum is σ = 383676689088. Its totient is φ = 32062832640.

The previous prime is 112294232059. The next prime is 112294232077. The reversal of 112294232064 is 460232492211.

It is a happy number.

112294232064 is a `hidden beast` number, since 1 + 1 + 2 + 29 + 423 + 206 + 4 = 666.

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 19 ways as a sum of consecutive naturals, for example, 74317069 + ... + 74318579.

Almost surely, 2112294232064 is an apocalyptic number.

112294232064 is a gapful number since it is divisible by the number (14) 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 112294232064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191838344544).

112294232064 is an abundant number, since it is smaller than the sum of its proper divisors (271382457024).

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

112294232064 is an frugal number, since it uses more digits than its factorization.

112294232064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 112294232064 in words is "one hundred twelve billion, two hundred ninety-four million, two hundred thirty-two thousand, sixty-four".