| Base | Representation |
|---|---|
| bin | 100101010100000010101… |
| … | …010011111011001100000 |
| 3 | 100002010111100002201212000 |
| 4 | 211110002222133121200 |
| 5 | 314002324340400200 |
| 6 | 5241541050404000 |
| 7 | 353152532551200 |
| oct | 45240252373140 |
| 9 | 10063440081760 |
| 10 | 2564140168800 |
| 11 | 8a949a307451 |
| 12 | 354b45430600 |
| 13 | 157a49ac9b42 |
| 14 | 8c168366400 |
| 15 | 46a74a75300 |
| hex | 25502a9f660 |
2564140168800 has 432 divisors, whose sum is σ = 10787708448720. Its totient is φ = 586088939520.
The previous prime is 2564140168691. The next prime is 2564140168801. The reversal of 2564140168800 is 88610414652.
It is a happy number.
2564140168800 is a `hidden beast` number, since 2 + 564 + 1 + 4 + 0 + 1 + 6 + 8 + 80 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (432).
It is a hoax number, since the sum of its digits (45) 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 (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2564140168801) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 152929 + ... + 2269728.
It is an arithmetic number, because the mean of its divisors is an integer number (24971547335).
Almost surely, 22564140168800 is an apocalyptic number.
2564140168800 is a gapful number since it is divisible by the number (20) 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 2564140168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393854224360).
2564140168800 is an abundant number, since it is smaller than the sum of its proper divisors (8223568279920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2564140168800 is a wasteful number, since it uses less digits than its factorization.
2564140168800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2422700 (or 2422674 counting only the distinct ones).
The product of its (nonzero) digits is 368640, while the sum is 45.
The spelling of 2564140168800 in words is "two trillion, five hundred sixty-four billion, one hundred forty million, one hundred sixty-eight thousand, eight hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.074 sec. • engine limits •