Base | Representation |
---|---|
bin | 1101110110100010111110… |
… | …11011010001001110000000 |
3 | 10222212002110221101110210000 |
4 | 12323101133123101032000 |
5 | 12443040132304002133 |
6 | 144441453555440000 |
7 | 6262525406513313 |
oct | 673213733211600 |
9 | 128762427343700 |
10 | 30461509047168 |
11 | 97847207aaa31 |
12 | 34bb7898b6000 |
13 | 13cc67b046994 |
14 | 7744b85bc97a |
15 | 37c59165a413 |
hex | 1bb45f6d1380 |
30461509047168 has 480 divisors, whose sum is σ = 96662777016960. Its totient is φ = 9520141123584.
The previous prime is 30461509047161. The next prime is 30461509047173. The reversal of 30461509047168 is 86174090516403.
30461509047168 is a `hidden beast` number, since 3 + 0 + 4 + 6 + 1 + 509 + 0 + 4 + 71 + 68 = 666.
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (30461509047161) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 363014305 + ... + 363098207.
It is an arithmetic number, because the mean of its divisors is an integer number (201380785452).
Almost surely, 230461509047168 is an apocalyptic number.
30461509047168 is a gapful number since it is divisible by the number (38) 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 30461509047168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48331388508480).
30461509047168 is an abundant number, since it is smaller than the sum of its proper divisors (66201267969792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30461509047168 is an equidigital number, since it uses as much as digits as its factorization.
30461509047168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 84064 (or 84024 counting only the distinct ones).
The product of its (nonzero) digits is 4354560, while the sum is 54.
The spelling of 30461509047168 in words is "thirty trillion, four hundred sixty-one billion, five hundred nine million, forty-seven thousand, one hundred sixty-eight".
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