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149427317952 = 26321127130197
BaseRepresentation
bin1000101100101010001…
…1111110110011000000
3112021200211212020210100
42023022203332303000
54422011343133302
6152351310002400
713536643150203
oct2131243766300
9467624766710
10149427317952
115840a909700
1224b62aa6400
1311124a29b43
1473376b993a
153d486aad1c
hex22ca8fecc0

149427317952 has 252 divisors, whose sum is σ = 477429655248. Its totient is φ = 44641766400.

The previous prime is 149427317849. The next prime is 149427318011. The reversal of 149427317952 is 259713724941.

149427317952 is a `hidden beast` number, since 1 + 49 + 427 + 3 + 179 + 5 + 2 = 666.

149427317952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4933318 + ... + 4963514.

It is an arithmetic number, because the mean of its divisors is an integer number (1894562124).

Almost surely, 2149427317952 is an apocalyptic number.

149427317952 is a gapful number since it is divisible by the number (12) 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 149427317952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238714827624).

149427317952 is an abundant number, since it is smaller than the sum of its proper divisors (328002337296).

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

149427317952 is a wasteful number, since it uses less digits than its factorization.

149427317952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30308 (or 30284 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 149427317952 in words is "one hundred forty-nine billion, four hundred twenty-seven million, three hundred seventeen thousand, nine hundred fifty-two".