Base | Representation |
---|---|
bin | 1010100100110000010110… |
… | …11001010110011001000000 |
3 | 10001022222102121002020221011 |
4 | 11102120023121112121000 |
5 | 11021434414344311412 |
6 | 121242202535010304 |
7 | 4616661405643534 |
oct | 522301331263100 |
9 | 101288377066834 |
10 | 23253144135232 |
11 | 745566a724330 |
12 | 2736746b09994 |
13 | cc89ba3b166b |
14 | 5a565b36bbc4 |
15 | 2a4d034597a7 |
hex | 15260b656640 |
23253144135232 has 112 divisors (see below), whose sum is σ = 52992850478400. Its totient is φ = 10012234383360.
The previous prime is 23253144135211. The next prime is 23253144135293.
23253144135232 is nontrivially palindromic in base 10.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130581168 + ... + 130759120.
It is an arithmetic number, because the mean of its divisors is an integer number (473150450700).
Almost surely, 223253144135232 is an apocalyptic number.
23253144135232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23253144135232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26496425239200).
23253144135232 is an abundant number, since it is smaller than the sum of its proper divisors (29739706343168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23253144135232 is a wasteful number, since it uses less digits than its factorization.
23253144135232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 187764 (or 187754 counting only the distinct ones).
The product of its digits is 518400, while the sum is 40.
The spelling of 23253144135232 in words is "twenty-three trillion, two hundred fifty-three billion, one hundred forty-four million, one hundred thirty-five thousand, two hundred thirty-two".
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