Base | Representation |
---|---|
bin | 10101011111110011… |
… | …010010100001000000 |
3 | 2012120122002001012001 |
4 | 111133303102201000 |
5 | 334233010222214 |
6 | 14334225513344 |
7 | 1444665521200 |
oct | 253763224100 |
9 | 65518061161 |
10 | 23082117184 |
11 | 9875287305 |
12 | 45821a2854 |
13 | 223b0b1109 |
14 | 118d786400 |
15 | 901630c74 |
hex | 55fcd2840 |
23082117184 has 63 divisors (see below), whose sum is σ = 53301357837. Its totient is φ = 9888689664.
The previous prime is 23082117139. The next prime is 23082117193. The reversal of 23082117184 is 48171128032.
The square root of 23082117184 is 151928.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 22776846400 + 305270784 = 150920^2 + 17472^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8506612 + ... + 8509324.
It is an arithmetic number, because the mean of its divisors is an integer number (846053299).
Almost surely, 223082117184 is an apocalyptic number.
23082117184 is the 151928-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23082117184
23082117184 is an abundant number, since it is smaller than the sum of its proper divisors (30219240653).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23082117184 is an frugal number, since it uses more digits than its factorization.
23082117184 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5452 (or 2722 counting only the distinct ones).
The product of its (nonzero) digits is 21504, while the sum is 37.
The spelling of 23082117184 in words is "twenty-three billion, eighty-two million, one hundred seventeen thousand, one hundred eighty-four".
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