| Base | Representation |
|---|---|
| bin | 101010010001110001… |
| … | …001001000000000000 |
| 3 | 11100011200011200210000 |
| 4 | 222101301021000000 |
| 5 | 1220432141014300 |
| 6 | 32504305440000 |
| 7 | 3164636161065 |
| oct | 522161110000 |
| 9 | 140150150700 |
| 10 | 45395251200 |
| 11 | 18285488132 |
| 12 | 896a940000 |
| 13 | 4385a7c0b0 |
| 14 | 22a8d58c6c |
| 15 | 12aa4b4c00 |
| hex | a91c49000 |
45395251200 has 780 divisors, whose sum is σ = 181519997428. Its totient is φ = 11147673600.
The previous prime is 45395251189. The next prime is 45395251211. The reversal of 45395251200 is 215259354.
It is a happy number.
45395251200 is a `hidden beast` number, since 4 + 5 + 3 + 9 + 525 + 120 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (45395251189) and next prime (45395251211).
It can be written as a sum of positive squares in 6 ways, for example, as 18635526144 + 26759725056 = 136512^2 + 163584^2 .
It is a tau number, because it is divible by the number of its divisors (780).
It is a super-2 number, since 2×453952512002 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 107826990 + ... + 107827410.
Almost surely, 245395251200 is an apocalyptic number.
45395251200 is a gapful number since it is divisible by the number (40) 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 45395251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90759998714).
45395251200 is an abundant number, since it is smaller than the sum of its proper divisors (136124746228).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45395251200 is a wasteful number, since it uses less digits than its factorization.
45395251200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 480 (or 444 counting only the distinct ones).
The product of its (nonzero) digits is 54000, while the sum is 36.
The spelling of 45395251200 in words is "forty-five billion, three hundred ninety-five million, two hundred fifty-one thousand, two hundred".
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