Base | Representation |
---|---|
bin | 1001001111100111… |
… | …0001111110000000 |
3 | 20101221012001122000 |
4 | 2103321301332000 |
5 | 20040214211012 |
6 | 1050120544000 |
7 | 115330350300 |
oct | 22371617600 |
9 | 6357161560 |
10 | 2481397632 |
11 | 106375884a |
12 | 593022000 |
13 | 30711822c |
14 | 1977ab600 |
15 | e7ca3ddc |
hex | 93e71f80 |
2481397632 has 192 divisors, whose sum is σ = 8519835600. Its totient is φ = 708922368.
The previous prime is 2481397627. The next prime is 2481397651. The reversal of 2481397632 is 2367931842.
2481397632 is a `hidden beast` number, since 2 + 4 + 8 + 1 + 3 + 9 + 7 + 632 = 666.
2481397632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (192).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162018 + ... + 176670.
Almost surely, 22481397632 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2481397632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259917800).
2481397632 is an abundant number, since it is smaller than the sum of its proper divisors (6038437968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2481397632 is a wasteful number, since it uses less digits than its factorization.
2481397632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14690 (or 14665 counting only the distinct ones).
The product of its digits is 435456, while the sum is 45.
The square root of 2481397632 is about 49813.6289784232. The cubic root of 2481397632 is about 1353.8341177464.
The spelling of 2481397632 in words is "two billion, four hundred eighty-one million, three hundred ninety-seven thousand, six hundred thirty-two".
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