Base | Representation |
---|---|
bin | 10010111000101100… |
… | …10110000000000000 |
3 | 222011121212120222000 |
4 | 21130112112000000 |
5 | 131231124430434 |
6 | 4354040144000 |
7 | 506155406664 |
oct | 113426260000 |
9 | 28147776860 |
10 | 10139295744 |
11 | 4333405a66 |
12 | 1b6b768000 |
13 | c5780c0a6 |
14 | 6c28628a4 |
15 | 3e5225b99 |
hex | 25c596000 |
10139295744 has 112 divisors (see below), whose sum is σ = 30041179440. Its totient is φ = 3379691520.
The previous prime is 10139295721. The next prime is 10139295757. The reversal of 10139295744 is 44759293101.
10139295744 is a `hidden beast` number, since 101 + 392 + 95 + 74 + 4 = 666.
It is a self number, because there is not a number n which added to its sum of digits gives 10139295744.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 198264 + ... + 244104.
Almost surely, 210139295744 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10139295744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15020589720).
10139295744 is an abundant number, since it is smaller than the sum of its proper divisors (19901883696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10139295744 is an frugal number, since it uses more digits than its factorization.
10139295744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 45876 (or 45846 counting only the distinct ones).
The product of its (nonzero) digits is 272160, while the sum is 45.
It can be divided in two parts, 101392 and 95744, that added together give a square (197136 = 4442).
The spelling of 10139295744 in words is "ten billion, one hundred thirty-nine million, two hundred ninety-five thousand, seven hundred forty-four".
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