Base | Representation |
---|---|
bin | 1000101101000010010… |
… | …0000010011010000000 |
3 | 112021221212022020011010 |
4 | 2023100210002122000 |
5 | 4422213131333112 |
6 | 152405303520520 |
7 | 13542304665252 |
oct | 2132044023200 |
9 | 467855266133 |
10 | 149527996032 |
11 | 58461723628 |
12 | 24b90759140 |
13 | 1113c84a17c |
14 | 7346c05cd2 |
15 | 3d5244663c |
hex | 22d0902680 |
149527996032 has 128 divisors (see below), whose sum is σ = 425977704000. Its totient is φ = 46328315904.
The previous prime is 149527996019. The next prime is 149527996063. The reversal of 149527996032 is 230699725941.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (57).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193344 + ... + 580032.
Almost surely, 2149527996032 is an apocalyptic number.
149527996032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is a pronic number, being equal to 386688×386689.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 149527996032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212988852000).
149527996032 is an abundant number, since it is smaller than the sum of its proper divisors (276449707968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149527996032 is a wasteful number, since it uses less digits than its factorization.
149527996032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 386778 (or 386766 counting only the distinct ones).
The product of its (nonzero) digits is 7348320, while the sum is 57.
The spelling of 149527996032 in words is "one hundred forty-nine billion, five hundred twenty-seven million, nine hundred ninety-six thousand, thirty-two".
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