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149813155008 = 263211210720089
BaseRepresentation
bin1000101110000110001…
…1110101010011000000
3112022200201212210201200
42023201203311103000
54423304131430013
6152453451501200
713552336543446
oct2134143652300
9468621783650
10149813155008
1158598690800
1225050157800
131118694caaa
147372a34b96
153d6c4c2e73
hex22e18f54c0

149813155008 has 252 divisors, whose sum is σ = 476433626760. Its totient is φ = 44971407360.

The previous prime is 149813155007. The next prime is 149813155049. The reversal of 149813155008 is 800551318941.

149813155008 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 131 + 5 + 500 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (149813155001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7447428 + ... + 7467516.

It is an arithmetic number, because the mean of its divisors is an integer number (1890609630).

Almost surely, 2149813155008 is an apocalyptic number.

149813155008 is a gapful number since it is divisible by the number (18) 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 149813155008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238216813380).

149813155008 is an abundant number, since it is smaller than the sum of its proper divisors (326620471752).

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

149813155008 is a wasteful number, since it uses less digits than its factorization.

149813155008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20236 (or 20212 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 149813155008 in words is "one hundred forty-nine billion, eight hundred thirteen million, one hundred fifty-five thousand, eight".