Base | Representation |
---|---|
bin | 10111111010010111010… |
… | …10001001011100100100 |
3 | 2220112201021120121210000 |
4 | 23331023222021130210 |
5 | 101430123132442401 |
6 | 1425235212501300 |
7 | 113234133365052 |
oct | 13751352113444 |
9 | 2815637517700 |
10 | 821608093476 |
11 | 297495393195 |
12 | 113296a7a830 |
13 | 5c628861bc1 |
14 | 2baa204b1d2 |
15 | 1658a30a186 |
hex | bf4ba89724 |
821608093476 has 135 divisors (see below), whose sum is σ = 2209087787907. Its totient is φ = 266271701760.
The previous prime is 821608093469. The next prime is 821608093477. The reversal of 821608093476 is 674390806128.
The square root of 821608093476 is 906426.
It is a perfect power (a square), and thus also a powerful number.
821608093476 is a `hidden beast` number, since 8 + 2 + 1 + 6 + 0 + 80 + 93 + 476 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 7325648100 + 814282445376 = 85590^2 + 902376^2 .
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (821608093477) by changing a digit.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 603679036 + ... + 603680396.
Almost surely, 2821608093476 is an apocalyptic number.
821608093476 is the 906426-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 821608093476
821608093476 is an abundant number, since it is smaller than the sum of its proper divisors (1387479694431).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
821608093476 is an equidigital number, since it uses as much as digits as its factorization.
821608093476 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2812 (or 1403 counting only the distinct ones).
The product of its (nonzero) digits is 3483648, while the sum is 54.
The spelling of 821608093476 in words is "eight hundred twenty-one billion, six hundred eight million, ninety-three thousand, four hundred seventy-six".
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