| Base | Representation |
|---|---|
| bin | 110101110101110111… |
| … | …0010100000000000000 |
| 3 | 102001110000211112020000 |
| 4 | 1223223232110000000 |
| 5 | 3343244211423000 |
| 6 | 125041130120000 |
| 7 | 11232161145216 |
| oct | 1535356240000 |
| 9 | 361400745200 |
| 10 | 115623936000 |
| 11 | 45043774501 |
| 12 | 1a4aa280000 |
| 13 | ab986b51a1 |
| 14 | 584c09ccb6 |
| 15 | 301abe9000 |
| hex | 1aebb94000 |
115623936000 has 1200 divisors, whose sum is σ = 467593478352. Its totient is φ = 28311552000.
The previous prime is 115623935989. The next prime is 115623936007. The reversal of 115623936000 is 639326511.
115623936000 is a `hidden beast` number, since 1 + 1 + 562 + 3 + 93 + 6 + 0 + 0 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 52554645504 + 63069290496 = 229248^2 + 251136^2 .
It is a tau number, because it is divible by the number of its divisors (1200).
It is a super-3 number, since 3×1156239360003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (115623936007) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2820095980 + ... + 2820096020.
Almost surely, 2115623936000 is an apocalyptic number.
115623936000 is a gapful number since it is divisible by the number (10) 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 115623936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233796739176).
115623936000 is an abundant number, since it is smaller than the sum of its proper divisors (351969542352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
115623936000 is an frugal number, since it uses more digits than its factorization.
115623936000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 113 (or 68 counting only the distinct ones).
The product of its (nonzero) digits is 29160, while the sum is 36.
The spelling of 115623936000 in words is "one hundred fifteen billion, six hundred twenty-three million, nine hundred thirty-six thousand".
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