| Base | Representation |
|---|---|
| bin | 101010101101010101… |
| … | …000111101111000000 |
| 3 | 11101100220021220102100 |
| 4 | 222231111013233000 |
| 5 | 1222404030334112 |
| 6 | 33022224550400 |
| 7 | 3212252514111 |
| oct | 525525075700 |
| 9 | 141326256370 |
| 10 | 45857668032 |
| 11 | 184a2504800 |
| 12 | 8a79782400 |
| 13 | 442a805717 |
| 14 | 231052a208 |
| 15 | 12d5da72dc |
| hex | aad547bc0 |
45857668032 has 252 divisors, whose sum is σ = 145135579680. Its totient is φ = 13833093120.
The previous prime is 45857668027. The next prime is 45857668037. The reversal of 45857668032 is 23086675854.
45857668032 is a `hidden beast` number, since 4 + 5 + 8 + 576 + 68 + 0 + 3 + 2 = 666.
45857668032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (45857668027) and next prime (45857668037).
It is a super-2 number, since 2×458576680322 (a number of 22 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 45857668032.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (45857668037) 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, 16655968 + ... + 16658720.
It is an arithmetic number, because the mean of its divisors is an integer number (575934840).
Almost surely, 245857668032 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 45857668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72567789840).
45857668032 is an abundant number, since it is smaller than the sum of its proper divisors (99277911648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45857668032 is a wasteful number, since it uses less digits than its factorization.
45857668032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3032 (or 3008 counting only the distinct ones).
The product of its (nonzero) digits is 9676800, while the sum is 54.
The spelling of 45857668032 in words is "forty-five billion, eight hundred fifty-seven million, six hundred sixty-eight thousand, thirty-two".
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