| Base | Representation |
|---|---|
| bin | 101010011111110100… |
| … | …000101111011000000 |
| 3 | 11100210002121012110100 |
| 4 | 222133310011323000 |
| 5 | 1221423002443143 |
| 6 | 32543524402400 |
| 7 | 3203530205340 |
| oct | 523764057300 |
| 9 | 140702535410 |
| 10 | 45630906048 |
| 11 | 18396503102 |
| 12 | 8a15846400 |
| 13 | 43c283b230 |
| 14 | 22cc37cd20 |
| 15 | 12c10136d3 |
| hex | a9fd05ec0 |
45630906048 has 672 divisors, whose sum is σ = 174741840000. Its totient is φ = 11041505280.
The previous prime is 45630906043. The next prime is 45630906131. The reversal of 45630906048 is 84060903654.
45630906048 is a `hidden beast` number, since 4 + 5 + 6 + 30 + 9 + 0 + 604 + 8 = 666.
45630906048 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 (672).
It is a super-2 number, since 2×456309060482 (a number of 22 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 45630905994 and 45630906012.
It is not an unprimeable number, because it can be changed into a prime (45630906043) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36533328 + ... + 36534576.
It is an arithmetic number, because the mean of its divisors is an integer number (260032500).
Almost surely, 245630906048 is an apocalyptic number.
45630906048 is a gapful number since it is divisible by the number (48) 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 45630906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87370920000).
45630906048 is an abundant number, since it is smaller than the sum of its proper divisors (129110933952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45630906048 is a wasteful number, since it uses less digits than its factorization.
45630906048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1345 (or 1332 counting only the distinct ones).
The product of its (nonzero) digits is 622080, while the sum is 45.
The spelling of 45630906048 in words is "forty-five billion, six hundred thirty million, nine hundred six thousand, forty-eight".
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