Base | Representation |
---|---|
bin | 10011010100110000… |
… | …01000010000000000 |
3 | 222210000201120002100 |
4 | 21222120020100000 |
5 | 132221402112421 |
6 | 4433244350400 |
7 | 515044011441 |
oct | 115230102000 |
9 | 28700646070 |
10 | 10374644736 |
11 | 4444242165 |
12 | 2016545400 |
13 | c944c1c51 |
14 | 705c072c8 |
15 | 40ac13c26 |
hex | 26a608400 |
10374644736 has 99 divisors (see below), whose sum is σ = 29984822413. Its totient is φ = 3454955520.
The previous prime is 10374644719. The next prime is 10374644741. The reversal of 10374644736 is 63744647301.
The square root of 10374644736 is 101856.
It is a perfect power (a square), and thus also a powerful number.
10374644736 is a `hidden beast` number, since 103 + 74 + 6 + 4 + 473 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 6832014336 + 3542630400 = 82656^2 + 59520^2 .
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 10374644691 and 10374644700.
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, 9777646 + ... + 9778706.
Almost surely, 210374644736 is an apocalyptic number.
10374644736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
10374644736 is the 101856-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10374644736
10374644736 is an abundant number, since it is smaller than the sum of its proper divisors (19610177677).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10374644736 is an frugal number, since it uses more digits than its factorization.
10374644736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2148 (or 1066 counting only the distinct ones).
The product of its (nonzero) digits is 1016064, while the sum is 45.
The spelling of 10374644736 in words is "ten billion, three hundred seventy-four million, six hundred forty-four thousand, seven hundred thirty-six".
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