| Base | Representation |
|---|---|
| bin | 1110001010011111000111… |
| … | …11011100000000000000000 |
| 3 | 11002021120220022212221000000 |
| 4 | 13011033203323200000000 |
| 5 | 13040301300230421041 |
| 6 | 150124322024000000 |
| 7 | 6363161400545466 |
| oct | 705174373400000 |
| 9 | 132246808787000 |
| 10 | 31146631888896 |
| 11 | 9a1923778a3a7 |
| 12 | 35b0514000000 |
| 13 | 144c165248094 |
| 14 | 79970db18836 |
| 15 | 3902de5b5bb6 |
| hex | 1c53e3ee0000 |
31146631888896 has 504 divisors, whose sum is σ = 93864705152400. Its totient is φ = 10330262470656.
The previous prime is 31146631888891. The next prime is 31146631888903. The reversal of 31146631888896 is 69888813664113.
31146631888896 is a `hidden beast` number, since 3 + 1 + 1 + 466 + 3 + 1 + 8 + 88 + 89 + 6 = 666.
It is a super-2 number, since 2×311466318888962 (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 a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (31146631888891) by changing a digit.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 22263496005 + ... + 22263497403.
It is an arithmetic number, because the mean of its divisors is an integer number (186239494350).
Almost surely, 231146631888896 is an apocalyptic number.
31146631888896 is a gapful number since it is divisible by the number (36) 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 31146631888896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46932352576200).
31146631888896 is an abundant number, since it is smaller than the sum of its proper divisors (62718073263504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31146631888896 is an frugal number, since it uses more digits than its factorization.
31146631888896 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1684 (or 1637 counting only the distinct ones).
The product of its digits is 286654464, while the sum is 72.
The spelling of 31146631888896 in words is "thirty-one trillion, one hundred forty-six billion, six hundred thirty-one million, eight hundred eighty-eight thousand, eight hundred ninety-six".
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