| Base | Representation |
|---|---|
| bin | 101010001110001100… |
| … | …101111101010100000 |
| 3 | 11100000111111212000000 |
| 4 | 222032030233222200 |
| 5 | 1220321324103332 |
| 6 | 32454330300000 |
| 7 | 3163311234300 |
| oct | 521614575240 |
| 9 | 140014455000 |
| 10 | 45335378592 |
| 11 | 18254703a39 |
| 12 | 8952887600 |
| 13 | 437654810a |
| 14 | 22a1011600 |
| 15 | 12a50d9b7c |
| hex | a8e32faa0 |
45335378592 has 504 divisors, whose sum is σ = 164895545556. Its totient is φ = 12185800704.
The previous prime is 45335378567. The next prime is 45335378597. The reversal of 45335378592 is 29587353354.
45335378592 is a `hidden beast` number, since 4 + 53 + 3 + 537 + 8 + 59 + 2 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 45129054096 + 206324496 = 212436^2 + 14364^2 .
It is a tau number, because it is divible by the number of its divisors (504).
It is a super-3 number, since 3×453353785923 (a number of 33 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (45335378597) 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 83 ways as a sum of consecutive naturals, for example, 19431058 + ... + 19433390.
Almost surely, 245335378592 is an apocalyptic number.
45335378592 is a gapful number since it is divisible by the number (42) 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 45335378592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82447772778).
45335378592 is an abundant number, since it is smaller than the sum of its proper divisors (119560166964).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45335378592 is a wasteful number, since it uses less digits than its factorization.
45335378592 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2392 (or 2362 counting only the distinct ones).
The product of its digits is 13608000, while the sum is 54.
The spelling of 45335378592 in words is "forty-five billion, three hundred thirty-five million, three hundred seventy-eight thousand, five hundred ninety-two".
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