| Base | Representation |
|---|---|
| bin | 101010100110011011… |
| … | …100111101011000000 |
| 3 | 11101001211111212100000 |
| 4 | 222212123213223000 |
| 5 | 1222134413244300 |
| 6 | 33002532200000 |
| 7 | 3206346000000 |
| oct | 524633475300 |
| 9 | 141054455300 |
| 10 | 45741931200 |
| 11 | 18443144a29 |
| 12 | 8a46a69000 |
| 13 | 440c8420a4 |
| 14 | 22dd000000 |
| 15 | 12cab44c00 |
| hex | aa66e7ac0 |
45741931200 has 882 divisors, whose sum is σ = 196698614476. Its totient is φ = 10455298560.
The previous prime is 45741931139. The next prime is 45741931211. The reversal of 45741931200 is 213914754.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
45741931200 is a `hidden beast` number, since 4 + 5 + 7 + 419 + 31 + 200 = 666.
45741931200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (882).
It is a super-3 number, since 3×457419312003 (a number of 33 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 14.
It is an unprimeable number.
It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 6534561597 + ... + 6534561603.
Almost surely, 245741931200 is an apocalyptic number.
45741931200 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 45741931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98349307238).
45741931200 is an abundant number, since it is smaller than the sum of its proper divisors (150956683276).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45741931200 is an frugal number, since it uses more digits than its factorization.
45741931200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 79 (or 17 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 36.
The spelling of 45741931200 in words is "forty-five billion, seven hundred forty-one million, nine hundred thirty-one thousand, two hundred".
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