Base | Representation |
---|---|
bin | 10010110110000100… |
… | …01101000000000000 |
3 | 222010002100222111120 |
4 | 21123002031000000 |
5 | 131210003120114 |
6 | 4351531312240 |
7 | 505500052662 |
oct | 113302150000 |
9 | 28102328446 |
10 | 10117238784 |
11 | 4321a10274 |
12 | 1b642ab680 |
13 | c53088633 |
14 | 6bd960532 |
15 | 3e331a5a9 |
hex | 25b08d000 |
10117238784 has 104 divisors (see below), whose sum is σ = 27042095040. Its totient is φ = 3364159488.
The previous prime is 10117238783. The next prime is 10117238797. The reversal of 10117238784 is 48783271101.
It is a super-2 number, since 2×101172387842 (a number of 21 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10117238783) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6991149 + ... + 6992595.
Almost surely, 210117238784 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 10117238784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13521047520).
10117238784 is an abundant number, since it is smaller than the sum of its proper divisors (16924856256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10117238784 is an equidigital number, since it uses as much as digits as its factorization.
10117238784 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2043 (or 2021 counting only the distinct ones).
The product of its (nonzero) digits is 75264, while the sum is 42.
The spelling of 10117238784 in words is "ten billion, one hundred seventeen million, two hundred thirty-eight thousand, seven hundred eighty-four".
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