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112292500608 = 273610972
BaseRepresentation
bin110100010010100100…
…1111001010010000000
3101201211212011002000000
41220211021321102000
53314433340004413
6123330402000000
711053466335461
oct1504511712200
9351755132000
10112292500608
1143694209812
121991a646000
13a787447742
14561385cd68
152dc34d7073
hex1a25279480

112292500608 has 168 divisors, whose sum is σ = 335714168505. Its totient is φ = 37396712448.

The previous prime is 112292500603. The next prime is 112292500643. The reversal of 112292500608 is 806005292211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

112292500608 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 92 + 500 + 60 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106803468864 + 5489031744 = 326808^2 + 74088^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=236952.

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

It is not an unprimeable number, because it can be changed into a prime (112292500603) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 102362716 + ... + 102363812.

Almost surely, 2112292500608 is an apocalyptic number.

112292500608 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 112292500608

112292500608 is an abundant number, since it is smaller than the sum of its proper divisors (223421667897).

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

112292500608 is an frugal number, since it uses more digits than its factorization.

112292500608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 112292500608 its reverse (806005292211), we get a palindrome (918297792819).

The spelling of 112292500608 in words is "one hundred twelve billion, two hundred ninety-two million, five hundred thousand, six hundred eight".