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112671014688 = 25331274392339
BaseRepresentation
bin110100011101110110…
…1110011111100100000
3101202211020101120201000
41220323231303330200
53321222234432223
6123432122512000
711066043552201
oct1507355637440
9352736346630
10112671014688
1143868939a71
1219a05365600
13a8179a547b
14564bc2d5a8
152de6854543
hex1a3bb73f20

112671014688 has 192 divisors, whose sum is σ = 332107776000. Its totient is φ = 37160508672.

The previous prime is 112671014681. The next prime is 112671014707. The reversal of 112671014688 is 886410176211.

112671014688 is a `hidden beast` number, since 112 + 6 + 71 + 0 + 1 + 468 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (112671014681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48169423 + ... + 48171761.

It is an arithmetic number, because the mean of its divisors is an integer number (1729728000).

Almost surely, 2112671014688 is an apocalyptic number.

112671014688 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 112671014688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166053888000).

112671014688 is an abundant number, since it is smaller than the sum of its proper divisors (219436761312).

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

112671014688 is a wasteful number, since it uses less digits than its factorization.

112671014688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 112671014688 in words is "one hundred twelve billion, six hundred seventy-one million, fourteen thousand, six hundred eighty-eight".