| Base | Representation |
|---|---|
| bin | 101010110011010100… |
| … | …101000000000000000 |
| 3 | 11101121220110112012100 |
| 4 | 222303110220000000 |
| 5 | 1223110244420334 |
| 6 | 33040215430400 |
| 7 | 3214613160126 |
| oct | 526324500000 |
| 9 | 141556415170 |
| 10 | 45958201344 |
| 11 | 1854422a990 |
| 12 | 8aa7385400 |
| 13 | 44455a4ba3 |
| 14 | 231da19916 |
| 15 | 12deb14c99 |
| hex | ab3528000 |
45958201344 has 384 divisors, whose sum is σ = 149835029760. Its totient is φ = 13447987200.
The previous prime is 45958201343. The next prime is 45958201363. The reversal of 45958201344 is 44310285954.
45958201344 is a `hidden beast` number, since 4 + 59 + 58 + 201 + 344 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×459582013442 (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 45958201344.
It is not an unprimeable number, because it can be changed into a prime (45958201343) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100564764 + ... + 100565220.
It is an arithmetic number, because the mean of its divisors is an integer number (390195390).
Almost surely, 245958201344 is an apocalyptic number.
45958201344 is a gapful number since it is divisible by the number (44) 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 45958201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74917514880).
45958201344 is an abundant number, since it is smaller than the sum of its proper divisors (103876828416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45958201344 is a wasteful number, since it uses less digits than its factorization.
45958201344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 535 (or 504 counting only the distinct ones).
The product of its (nonzero) digits is 691200, while the sum is 45.
The spelling of 45958201344 in words is "forty-five billion, nine hundred fifty-eight million, two hundred one thousand, three hundred forty-four".
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