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149281875904 = 267331534139
BaseRepresentation
bin1000101100000111100…
…1001010011111000000
3112021022201012000210211
42023001321022133000
54421212130012104
6152325032403504
713533226003000
oct2130171123700
9467281160724
10149281875904
11583457aa967
1224b22246594
1311100865765
14732225a000
153d3aa2be04
hex22c1e4a7c0

149281875904 has 224 divisors, whose sum is σ = 363419136000. Its totient is φ = 60731274240.

The previous prime is 149281875871. The next prime is 149281875917. The reversal of 149281875904 is 409578182941.

149281875904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36065067 + ... + 36069205.

Almost surely, 2149281875904 is an apocalyptic number.

149281875904 is a gapful number since it is divisible by the number (14) 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 149281875904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181709568000).

149281875904 is an abundant number, since it is smaller than the sum of its proper divisors (214137260096).

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

149281875904 is an equidigital number, since it uses as much as digits as its factorization.

149281875904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 58.

The spelling of 149281875904 in words is "one hundred forty-nine billion, two hundred eighty-one million, eight hundred seventy-five thousand, nine hundred four".