Base | Representation |
---|---|
bin | 10010101110011101… |
… | …00110111000000101 |
3 | 221221122012200222001 |
4 | 21113032212320011 |
5 | 131042131203022 |
6 | 4341330505301 |
7 | 504063222355 |
oct | 112716467005 |
9 | 27848180861 |
10 | 10053381637 |
11 | 4299965472 |
12 | 1b46a35231 |
13 | c42a8ab40 |
14 | 6b529ab65 |
15 | 3dc904b27 |
hex | 2573a6e05 |
10053381637 has 8 divisors (see below), whose sum is σ = 10836861560. Its totient is φ = 9271350720.
The previous prime is 10053381619. The next prime is 10053381659. The reversal of 10053381637 is 73618335001.
It is a happy number.
10053381637 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 328660641 + 9724720996 = 18129^2 + 98614^2 .
It is a sphenic number, since it is the product of 3 distinct primes.
It is a cyclic number.
It is not a de Polignac number, because 10053381637 - 215 = 10053348869 is a prime.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 10053381596 and 10053381605.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10053381607) 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 7 ways as a sum of consecutive naturals, for example, 347814 + ... + 375607.
It is an arithmetic number, because the mean of its divisors is an integer number (1354607695).
Almost surely, 210053381637 is an apocalyptic number.
It is an amenable number.
10053381637 is a deficient number, since it is larger than the sum of its proper divisors (783479923).
10053381637 is a wasteful number, since it uses less digits than its factorization.
10053381637 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 724503.
The product of its (nonzero) digits is 45360, while the sum is 37.
The spelling of 10053381637 in words is "ten billion, fifty-three million, three hundred eighty-one thousand, six hundred thirty-seven".
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