Base | Representation |
---|---|
bin | 11010000101000011000111… |
… | …11101110111100000000000 |
3 | 21112001102102022222200002220 |
4 | 31002201203331313200000 |
5 | 30004042332101424223 |
6 | 321545202224011040 |
7 | 15036155616206010 |
oct | 1502414375674000 |
9 | 245042368880086 |
10 | 57348080498688 |
11 | 1730020341aa61 |
12 | 6522538160a80 |
13 | 25ccb93048c15 |
14 | 102393a3adc40 |
15 | 696b4db016e3 |
hex | 342863f77800 |
57348080498688 has 384 divisors, whose sum is σ = 178640772710400. Its totient is φ = 16019415465984.
The previous prime is 57348080498677. The next prime is 57348080498689. The reversal of 57348080498688 is 88689408084375.
It is a tau number, because it is divible by the number of its divisors (384).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (57348080498689) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1954655923 + ... + 1954685261.
It is an arithmetic number, because the mean of its divisors is an integer number (465210345600).
Almost surely, 257348080498688 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 57348080498688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89320386355200).
57348080498688 is an abundant number, since it is smaller than the sum of its proper divisors (121292692211712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57348080498688 is a wasteful number, since it uses less digits than its factorization.
57348080498688 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 30385 (or 30365 counting only the distinct ones).
The product of its (nonzero) digits is 2972712960, while the sum is 78.
The spelling of 57348080498688 in words is "fifty-seven trillion, three hundred forty-eight billion, eighty million, four hundred ninety-eight thousand, six hundred eighty-eight".
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