Base | Representation |
---|---|
bin | 10011100000111000… |
… | …00100100001000100 |
3 | 1000001010002021120100 |
4 | 21300130010201010 |
5 | 132423420410231 |
6 | 4451320204100 |
7 | 520420301100 |
oct | 116034044104 |
9 | 30033067510 |
10 | 10476341316 |
11 | 4496692321 |
12 | 2044609630 |
13 | cac5aaa3c |
14 | 71551a900 |
15 | 414b011e6 |
hex | 270704844 |
10476341316 has 81 divisors (see below), whose sum is σ = 30818078109. Its totient is φ = 2992012128.
The previous prime is 10476341303. The next prime is 10476341329. The reversal of 10476341316 is 61314367401.
The square root of 10476341316 is 102354.
It is a perfect power (a square), and thus also a powerful number.
10476341316 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 634 + 1 + 3 + 16 = 666.
It is an interprime number because it is at equal distance from previous prime (10476341303) and next prime (10476341329).
It can be written as a sum of positive squares in only one way, i.e., 9866448900 + 609892416 = 99330^2 + 24696^2 .
It is a super-2 number, since 2×104763413162 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4297650 + ... + 4300086.
Almost surely, 210476341316 is an apocalyptic number.
10476341316 is the 102354-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10476341316
10476341316 is an abundant number, since it is smaller than the sum of its proper divisors (20341736793).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10476341316 is an equidigital number, since it uses as much as digits as its factorization.
10476341316 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4898 (or 2449 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
Multiplying 10476341316 by its sum of digits (36), we get a square (377148287376 = 6141242).
10476341316 divided by its sum of digits (36) gives a square (291009481 = 170592).
The spelling of 10476341316 in words is "ten billion, four hundred seventy-six million, three hundred forty-one thousand, three hundred sixteen".
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