Base | Representation |
---|---|
bin | 11000111100110000000011… |
… | …11110000010101110010000 |
3 | 21012020221102200022112002011 |
4 | 30132120001332002232100 |
5 | 24142342324442433100 |
6 | 312404052025032304 |
7 | 14361534465225214 |
oct | 1436300176025620 |
9 | 235227380275064 |
10 | 54863945280400 |
11 | 165327398a1023 |
12 | 61a1000325694 |
13 | 247c8563c82a9 |
14 | d79601710944 |
15 | 65220cbc6bba |
hex | 31e601f82b90 |
54863945280400 has 135 divisors (see below), whose sum is σ = 132615210842611. Its totient is φ = 21812429520640.
The previous prime is 54863945280379. The next prime is 54863945280401. The reversal of 54863945280400 is 408254936845.
It is a happy number.
The square root of 54863945280400 is 7407020.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 13559981382544 + 41303963897856 = 3682388^2 + 6426816^2 .
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (54863945280401) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26517130566 + ... + 26517132634.
Almost surely, 254863945280400 is an apocalyptic number.
54863945280400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.
54863945280400 is the 7407020-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 54863945280400
54863945280400 is an abundant number, since it is smaller than the sum of its proper divisors (77751265562211).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54863945280400 is an frugal number, since it uses more digits than its factorization.
54863945280400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4514 (or 2255 counting only the distinct ones).
The product of its (nonzero) digits is 33177600, while the sum is 58.
The spelling of 54863945280400 in words is "fifty-four trillion, eight hundred sixty-three billion, nine hundred forty-five million, two hundred eighty thousand, four hundred".
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