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112657190148 = 223731715851
BaseRepresentation
bin110100011101011100…
…1000100110100000100
3101202210021101020000000
41220322321010310010
53321210220041043
6123430510321300
711065515213336
oct1507271046404
9352707336000
10112657190148
1143861057428
1219a007b9230
13a814b74b79
14564a071456
152de55232d3
hex1a3ae44d04

112657190148 has 192 divisors, whose sum is σ = 309569863680. Its totient is φ = 35823060000.

The previous prime is 112657190147. The next prime is 112657190189. The reversal of 112657190148 is 841091756211.

112657190148 is a `hidden beast` number, since 11 + 26 + 571 + 9 + 0 + 1 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (112657190147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19251423 + ... + 19257273.

It is an arithmetic number, because the mean of its divisors is an integer number (1612343040).

Almost surely, 2112657190148 is an apocalyptic number.

112657190148 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 112657190148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154784931840).

112657190148 is an abundant number, since it is smaller than the sum of its proper divisors (196912673532).

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

112657190148 is an equidigital number, since it uses as much as digits as its factorization.

112657190148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 112657190148 in words is "one hundred twelve billion, six hundred fifty-seven million, one hundred ninety thousand, one hundred forty-eight".