Base | Representation |
---|---|
bin | 1010111000101101101110… |
… | …10100100000000000000000 |
3 | 10010202112120002001200200000 |
4 | 11130112313110200000000 |
5 | 11114203411124020323 |
6 | 122525220350400000 |
7 | 5020346650361001 |
oct | 534266724400000 |
9 | 103675502050600 |
10 | 23938928345088 |
11 | 769a495a67429 |
12 | 2827636800000 |
13 | 104857b617253 |
14 | 5ca9166671a8 |
15 | 2b7a8e4a5e43 |
hex | 15c5b7520000 |
23938928345088 has 432 divisors, whose sum is σ = 71890230537216. Its totient is φ = 7960500633600.
The previous prime is 23938928345083. The next prime is 23938928345159. The reversal of 23938928345088 is 88054382983932.
23938928345088 is a `hidden beast` number, since 2 + 3 + 9 + 3 + 8 + 92 + 8 + 3 + 450 + 88 = 666.
It is a tau number, because it is divible by the number of its divisors (432).
It is a super-2 number, since 2×239389283450882 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is not an unprimeable number, because it can be changed into a prime (23938928345083) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20798373313 + ... + 20798374463.
It is an arithmetic number, because the mean of its divisors is an integer number (166412570688).
Almost surely, 223938928345088 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23938928345088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35945115268608).
23938928345088 is an abundant number, since it is smaller than the sum of its proper divisors (47951302192128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23938928345088 is an frugal number, since it uses more digits than its factorization.
23938928345088 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1853 (or 1809 counting only the distinct ones).
The product of its (nonzero) digits is 716636160, while the sum is 72.
The spelling of 23938928345088 in words is "twenty-three trillion, nine hundred thirty-eight billion, nine hundred twenty-eight million, three hundred forty-five thousand, eighty-eight".
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