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149325172920 = 233357114341759
BaseRepresentation
bin1000101100010001111…
…0010101000010111000
3112021102201122202011000
42023010132111002320
54421304221013140
6152333220405000
713534263012240
oct2130436250270
9467381582130
10149325172920
1158368192620
1224b34846760
1311109814bb1
147327ccab20
153d3e730a30
hex22c47950b8

149325172920 has 512 divisors, whose sum is σ = 635019264000. Its totient is φ = 30306286080.

The previous prime is 149325172903. The next prime is 149325172961. The reversal of 149325172920 is 29271523941.

149325172920 is a `hidden beast` number, since 1 + 4 + 93 + 2 + 517 + 29 + 20 = 666.

149325172920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3555001 + ... + 3596759.

It is an arithmetic number, because the mean of its divisors is an integer number (1240272000).

Almost surely, 2149325172920 is an apocalyptic number.

149325172920 is a gapful number since it is divisible by the number (10) 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 149325172920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317509632000).

149325172920 is an abundant number, since it is smaller than the sum of its proper divisors (485694091080).

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

149325172920 is a wasteful number, since it uses less digits than its factorization.

149325172920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41840 (or 41830 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 149325172920 in words is "one hundred forty-nine billion, three hundred twenty-five million, one hundred seventy-two thousand, nine hundred twenty".