| Base | Representation |
|---|---|
| bin | 101010011000111110… |
| … | …000110011011000001 |
| 3 | 11100111002112220010000 |
| 4 | 222120332012123001 |
| 5 | 1221204104322100 |
| 6 | 32524303430213 |
| 7 | 3200634242001 |
| oct | 523076063301 |
| 9 | 140432486100 |
| 10 | 45516089025 |
| 11 | 18337711400 |
| 12 | 89a32b5369 |
| 13 | 43a4b0a474 |
| 14 | 22bb012001 |
| 15 | 12b5dd3900 |
| hex | a98f866c1 |
45516089025 has 135 divisors (see below), whose sum is σ = 92888522419. Its totient is φ = 22017204000.
The previous prime is 45516089023. The next prime is 45516089063. The reversal of 45516089025 is 52098061554.
The square root of 45516089025 is 213345.
It is a perfect power (a square), and thus also a powerful number.
45516089025 is a `hidden beast` number, since 4 + 551 + 6 + 0 + 8 + 90 + 2 + 5 = 666.
It can be written as a sum of positive squares in only one way, i.e., 16385792049 + 29130296976 = 128007^2 + 170676^2 .
It is a tau number, because it is divible by the number of its divisors (135).
It is not a de Polignac number, because 45516089025 - 21 = 45516089023 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (45516089023) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 105605560 + ... + 105605990.
Almost surely, 245516089025 is an apocalyptic number.
45516089025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.
45516089025 is the 213345-th square number.
45516089025 is the 106673-rd centered octagonal number.
It is an amenable number.
45516089025 is an abundant number, since it is smaller than the sum of its proper divisors (47372433394).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45516089025 is an equidigital number, since it uses as much as digits as its factorization.
45516089025 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 906 (or 450 counting only the distinct ones).
The product of its (nonzero) digits is 432000, while the sum is 45.
The spelling of 45516089025 in words is "forty-five billion, five hundred sixteen million, eighty-nine thousand, twenty-five".
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