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149257204992 = 28327219149467
BaseRepresentation
bin1000101100000001101…
…1000011010100000000
3112021020222202121200100
42023000123003110000
54421134321024432
6152322351522400
713532506211100
oct2130033032400
9467228677610
10149257204992
115833288a285
1224b15b29400
13110c870829c
14731cc77200
153d387a707c
hex22c06c3500

149257204992 has 648 divisors, whose sum is σ = 531626004000. Its totient is φ = 40043372544.

The previous prime is 149257204963. The next prime is 149257205023. The reversal of 149257204992 is 299402752941.

It is a happy number.

149257204992 is a `hidden beast` number, since 1 + 492 + 5 + 7 + 20 + 49 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 319608343 + ... + 319608809.

It is an arithmetic number, because the mean of its divisors is an integer number (820410500).

Almost surely, 2149257204992 is an apocalyptic number.

149257204992 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 149257204992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265813002000).

149257204992 is an abundant number, since it is smaller than the sum of its proper divisors (382368799008).

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

149257204992 is a wasteful number, since it uses less digits than its factorization.

149257204992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 149257204992 in words is "one hundred forty-nine billion, two hundred fifty-seven million, two hundred four thousand, nine hundred ninety-two".