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133422638112 = 2532835581603
BaseRepresentation
bin111110001000010011…
…0111110010000100000
3110202101110020021110100
41330100212332100200
54141222143404422
6141143222102400
712432223466061
oct1742046762040
9422343207410
10133422638112
1151647667875
1221a36b7aa00
13c773cc579a
146659c8a568
15370d58d7ac
hex1f109be420

133422638112 has 72 divisors (see below), whose sum is σ = 383992028784. Its totient is φ = 43938370944.

The previous prime is 133422638099. The next prime is 133422638113. The reversal of 133422638112 is 211836224331.

133422638112 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 2 + 2 + 638 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (133422638113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2766898 + ... + 2814705.

It is an arithmetic number, because the mean of its divisors is an integer number (5333222622).

Almost surely, 2133422638112 is an apocalyptic number.

133422638112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133422638112 is an abundant number, since it is smaller than the sum of its proper divisors (250569390672).

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

133422638112 is a wasteful number, since it uses less digits than its factorization.

133422638112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5581702 (or 5581691 counting only the distinct ones).

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

The spelling of 133422638112 in words is "one hundred thirty-three billion, four hundred twenty-two million, six hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 5976 7968 11952 23904 5581603 11163206 16744809 22326412 33489618 44652824 50234427 66979236 89305648 100468854 133958472 178611296 200937708 267916944 401875416 463273049 535833888 803750832 926546098 1389819147 1607501664 1853092196 2779638294 3706184392 4169457441 5559276588 7412368784 8338914882 11118553176 14824737568 16677829764 22237106352 33355659528 44474212704 66711319056 133422638112