Base | Representation |
---|---|
bin | 101001100010100100100… |
… | …0011010011010101110001 |
3 | 202012210112112220210110000 |
4 | 1103011021003103111301 |
5 | 1222020004201420201 |
6 | 20050442021500213 |
7 | 1126323134654400 |
oct | 123051103232561 |
9 | 22183475823400 |
10 | 5709237138801 |
11 | 1901301586269 |
12 | 7825a3b71669 |
13 | 3254c016cbc1 |
14 | 15a485791637 |
15 | 9d79c6e8d86 |
hex | 531490d3571 |
5709237138801 has 405 divisors, whose sum is σ = 11131846950609. Its totient is φ = 2906734989312.
The previous prime is 5709237138793. The next prime is 5709237138821. The reversal of 5709237138801 is 1088317329075.
It is a happy number.
The square root of 5709237138801 is 2389401.
It is a perfect power (a square), and thus also a powerful number.
5709237138801 is a `hidden beast` number, since 570 + 9 + 2 + 37 + 1 + 38 + 8 + 0 + 1 = 666.
5709237138801 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 334258578801 + 5374978560000 = 578151^2 + 2318400^2 .
It is not a de Polignac number, because 5709237138801 - 23 = 5709237138793 is a prime.
It is not an unprimeable number, because it can be changed into a prime (5709237138821) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 58858114785 + ... + 58858114881.
Almost surely, 25709237138801 is an apocalyptic number.
5709237138801 is a gapful number since it is divisible by the number (51) formed by its first and last digit.
5709237138801 is the 2389401-st square number.
5709237138801 is the 1194701-st centered octagonal number.
It is an amenable number.
5709237138801 is a deficient number, since it is larger than the sum of its proper divisors (5422609811808).
5709237138801 is an equidigital number, since it uses as much as digits as its factorization.
5709237138801 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 300 (or 147 counting only the distinct ones).
The product of its (nonzero) digits is 2540160, while the sum is 54.
The spelling of 5709237138801 in words is "five trillion, seven hundred nine billion, two hundred thirty-seven million, one hundred thirty-eight thousand, eight hundred one".
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