| Base | Representation |
|---|---|
| bin | 101101100010111010011… |
| … | …011010110001100000000 |
| 3 | 102002012201121011001202000 |
| 4 | 231202322123112030000 |
| 5 | 402234430131004212 |
| 6 | 10353501210024000 |
| 7 | 442060642245612 |
| oct | 55427233261400 |
| 9 | 12065647131660 |
| 10 | 3129863922432 |
| 11 | aa7405652805 |
| 12 | 426709118000 |
| 13 | 1991b646b860 |
| 14 | ab6b429cdb2 |
| 15 | 566356781dc |
| hex | 2d8ba6d6300 |
3129863922432 has 576 divisors, whose sum is σ = 11109417984000. Its totient is φ = 858673446912.
The previous prime is 3129863922421. The next prime is 3129863922439. The reversal of 3129863922432 is 2342293689213.
3129863922432 is a `hidden beast` number, since 3 + 1 + 2 + 9 + 8 + 6 + 392 + 243 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (3129863922439) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28969569 + ... + 29077407.
It is an arithmetic number, because the mean of its divisors is an integer number (19287184000).
Almost surely, 23129863922432 is an apocalyptic number.
3129863922432 is a gapful number since it is divisible by the number (32) 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 3129863922432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5554708992000).
3129863922432 is an abundant number, since it is smaller than the sum of its proper divisors (7979554061568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3129863922432 is a wasteful number, since it uses less digits than its factorization.
3129863922432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 107913 (or 107893 counting only the distinct ones).
The product of its digits is 6718464, while the sum is 54.
The spelling of 3129863922432 in words is "three trillion, one hundred twenty-nine billion, eight hundred sixty-three million, nine hundred twenty-two thousand, four hundred thirty-two".
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