Base | Representation |
---|---|
bin | 10010101100100111… |
… | …01001011101110000 |
3 | 221220120010110110120 |
4 | 21112103221131300 |
5 | 131024202110434 |
6 | 4340015330240 |
7 | 503514650430 |
oct | 112623513560 |
9 | 27816113416 |
10 | 10037925744 |
11 | 4291169200 |
12 | 1b41820980 |
13 | c3c808b42 |
14 | 6b31d62c0 |
15 | 3db3a0349 |
hex | 2564e9770 |
10037925744 has 120 divisors (see below), whose sum is σ = 32574998400. Its totient is φ = 2607242880.
The previous prime is 10037925743. The next prime is 10037925769. The reversal of 10037925744 is 44752973001.
10037925744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a junction number, because it is equal to n+sod(n) for n = 10037925696 and 10037925705.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10037925743) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82794 + ... + 164105.
It is an arithmetic number, because the mean of its divisors is an integer number (271458320).
Almost surely, 210037925744 is an apocalyptic number.
10037925744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
10037925744 is an abundant number, since it is smaller than the sum of its proper divisors (22537072656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10037925744 is a wasteful number, since it uses less digits than its factorization.
10037925744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 246939 (or 246922 counting only the distinct ones).
The product of its (nonzero) digits is 211680, while the sum is 42.
The spelling of 10037925744 in words is "ten billion, thirty-seven million, nine hundred twenty-five thousand, seven hundred forty-four".
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