| Base | Representation |
|---|---|
| bin | 1110000101011011101111… |
| … | …00100010100011000000000 |
| 3 | 11001122222202200102100002000 |
| 4 | 13002231313210110120000 |
| 5 | 13024430213341241200 |
| 6 | 145512450131224000 |
| 7 | 6344504122100040 |
| oct | 702556744243000 |
| 9 | 131588680370060 |
| 10 | 30973015180800 |
| 11 | 9961644671980 |
| 12 | 3582940148000 |
| 13 | 1438986c10c44 |
| 14 | 79115d9c3720 |
| 15 | 38aa2c4a8300 |
| hex | 1c2b77914600 |
30973015180800 has 3840 divisors, whose sum is σ = 147711745843200. Its totient is φ = 6170237337600.
The previous prime is 30973015180787. The next prime is 30973015180841. The reversal of 30973015180800 is 808151037903.
30973015180800 is a `hidden beast` number, since 3 + 0 + 97 + 301 + 5 + 180 + 80 + 0 = 666.
30973015180800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (3840).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
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 383 ways as a sum of consecutive naturals, for example, 81722995011 + ... + 81722995389.
It is an arithmetic number, because the mean of its divisors is an integer number (38466600480).
Almost surely, 230973015180800 is an apocalyptic number.
30973015180800 is a gapful number since it is divisible by the number (30) 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 30973015180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73855872921600).
30973015180800 is an abundant number, since it is smaller than the sum of its proper divisors (116738730662400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30973015180800 is a wasteful number, since it uses less digits than its factorization.
30973015180800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 554 (or 527 counting only the distinct ones).
The product of its (nonzero) digits is 181440, while the sum is 45.
The spelling of 30973015180800 in words is "thirty trillion, nine hundred seventy-three billion, fifteen million, one hundred eighty thousand, eight hundred".
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