Base | Representation |
---|---|
bin | 110010010011001010… |
… | …1101010011110010000 |
3 | 101022210220210020102111 |
4 | 1210212111222132100 |
5 | 3232204423124400 |
6 | 121342243355104 |
7 | 10542525466462 |
oct | 1444625523620 |
9 | 338726706374 |
10 | 108017395600 |
11 | 418a0005084 |
12 | 18b26982a94 |
13 | a2558336ca |
14 | 5329b76132 |
15 | 2c2301e3ba |
hex | 192656a790 |
108017395600 has 45 divisors (see below), whose sum is σ = 259527586003. Its totient is φ = 43204328960.
The previous prime is 108017395481. The next prime is 108017395609. The reversal of 108017395600 is 6593710801.
The square root of 108017395600 is 328660.
It is a perfect power (a square), and thus also a powerful number.
108017395600 is digitally balanced in base 3, 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 28005353104 + 80012042496 = 167348^2 + 282864^2 .
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (108017395609) 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 8 ways as a sum of consecutive naturals, for example, 6564984 + ... + 6581416.
Almost surely, 2108017395600 is an apocalyptic number.
108017395600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
108017395600 is the 328660-th square number.
It is an amenable number.
108017395600 is an abundant number, since it is smaller than the sum of its proper divisors (151510190403).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
108017395600 is an frugal number, since it uses more digits than its factorization.
108017395600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32884 (or 16440 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 40.
The spelling of 108017395600 in words is "one hundred eight billion, seventeen million, three hundred ninety-five thousand, six hundred".
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