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149588000100 = 2233527112943577
BaseRepresentation
bin1000101101010000100…
…0111011110101100100
3112022010001012202021000
42023110020323311210
54422324012000400
6152415245553300
713543634010240
oct2132410736544
9468101182230
10149588000100
1158492587570
1224ba8875830
131114c0c8c36
147350b85420
153d5784a600
hex22d423bd64

149588000100 has 1152 divisors, whose sum is σ = 635759308800. Its totient is φ = 29262643200.

The previous prime is 149588000083. The next prime is 149588000119. The reversal of 149588000100 is 1000885941.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 259251012 + ... + 259251588.

It is an arithmetic number, because the mean of its divisors is an integer number (551874400).

Almost surely, 2149588000100 is an apocalyptic number.

149588000100 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 149588000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317879654400).

149588000100 is an abundant number, since it is smaller than the sum of its proper divisors (486171308700).

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

149588000100 is a wasteful number, since it uses less digits than its factorization.

149588000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 149588000100 in words is "one hundred forty-nine billion, five hundred eighty-eight million, one hundred", and thus it is an aban number.