Base | Representation |
---|---|
bin | 101010100101111110… |
… | …110110010000000000 |
3 | 11101001022022200000111 |
4 | 222211332312100000 |
5 | 1222131000414421 |
6 | 33002102401104 |
7 | 3206224614211 |
oct | 524576662000 |
9 | 141038280014 |
10 | 45734388736 |
11 | 18439963193 |
12 | 8a44430194 |
13 | 440b100caa |
14 | 22dbdd9408 |
15 | 12ca154ee1 |
hex | aa5fb6400 |
45734388736 has 99 divisors (see below), whose sum is σ = 94286783073. Its totient is φ = 22172590080.
The previous prime is 45734388659. The next prime is 45734388743. The reversal of 45734388736 is 63788343754.
The square root of 45734388736 is 213856.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 2203739136 + 43530649600 = 46944^2 + 208640^2 .
It is a Duffinian number.
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 280578991 + ... + 280579153.
Almost surely, 245734388736 is an apocalyptic number.
45734388736 is the 213856-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 45734388736
45734388736 is an abundant number, since it is smaller than the sum of its proper divisors (48552394337).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45734388736 is an frugal number, since it uses more digits than its factorization.
45734388736 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 428 (or 206 counting only the distinct ones).
The product of its digits is 40642560, while the sum is 58.
The spelling of 45734388736 in words is "forty-five billion, seven hundred thirty-four million, three hundred eighty-eight thousand, seven hundred thirty-six".
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