Base | Representation |
---|---|
bin | 101010100000111001… |
… | …111010000000000000 |
3 | 11100211101001000001100 |
4 | 222200321322000000 |
5 | 1221442144113141 |
6 | 32545420534400 |
7 | 3204141600630 |
oct | 524071720000 |
9 | 140741030040 |
10 | 45649207296 |
11 | 183a5873100 |
12 | 8a1b9b1400 |
13 | 43c6578384 |
14 | 22d09846c0 |
15 | 12c292b0b6 |
hex | aa0e7a000 |
45649207296 has 1008 divisors, whose sum is σ = 179474847552. Its totient is φ = 10899947520.
The previous prime is 45649207291. The next prime is 45649207297. The reversal of 45649207296 is 69270294654.
45649207296 is a `hidden beast` number, since 4 + 564 + 9 + 2 + 0 + 72 + 9 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (1008).
It is not an unprimeable number, because it can be changed into a prime (45649207291) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1061609451 + ... + 1061609493.
It is an arithmetic number, because the mean of its divisors is an integer number (178050444).
Almost surely, 245649207296 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 45649207296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89737423776).
45649207296 is an abundant number, since it is smaller than the sum of its proper divisors (133825640256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45649207296 is a wasteful number, since it uses less digits than its factorization.
45649207296 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 121 (or 83 counting only the distinct ones).
The product of its (nonzero) digits is 6531840, while the sum is 54.
The spelling of 45649207296 in words is "forty-five billion, six hundred forty-nine million, two hundred seven thousand, two hundred ninety-six".
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