Base | Representation |
---|---|
bin | 101110100100011110… |
… | …1100111000000000000 |
3 | 100120010202100222010010 |
4 | 1131020331213000000 |
5 | 3114304114423023 |
6 | 113535422104520 |
7 | 10140205005345 |
oct | 1351075470000 |
9 | 316122328103 |
10 | 100008357888 |
11 | 3946012454a |
12 | 1747071b140 |
13 | 957a477a3a |
14 | 4baa1d87cc |
15 | 2904d3b093 |
hex | 1748f67000 |
100008357888 has 104 divisors (see below), whose sum is σ = 268058797056. Its totient is φ = 33160806400.
The previous prime is 100008357887. The next prime is 100008357919. The reversal of 100008357888 is 888753800001.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100008357887) 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, 2325703 + ... + 2368313.
Almost surely, 2100008357888 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 100008357888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134029398528).
100008357888 is an abundant number, since it is smaller than the sum of its proper divisors (168050439168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100008357888 is an equidigital number, since it uses as much as digits as its factorization.
100008357888 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 42829 (or 42807 counting only the distinct ones).
The product of its (nonzero) digits is 430080, while the sum is 48.
The spelling of 100008357888 in words is "one hundred billion, eight million, three hundred fifty-seven thousand, eight hundred eighty-eight".
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