Base | Representation |
---|---|
bin | 111010100101001000111110… |
… | …000011010010110000000000 |
3 | 1020210020001011100112012102000 |
4 | 322211020332003102300000 |
5 | 232232124032003042410 |
6 | 2311541411020424000 |
7 | 105160541224341603 |
oct | 7245107603226000 |
9 | 1223201140465360 |
10 | 257638949268480 |
11 | 7510107925715a |
12 | 24a901a29a8000 |
13 | b09b3304299b0 |
14 | 4789b1252033a |
15 | 1ebbba889edc0 |
hex | ea523e0d2c00 |
257638949268480 has 1408 divisors, whose sum is σ = 1010585440972800. Its totient is φ = 61844469055488.
The previous prime is 257638949268457. The next prime is 257638949268577. The reversal of 257638949268480 is 84862949836752.
257638949268480 is a `hidden beast` number, since 2 + 5 + 7 + 6 + 3 + 89 + 492 + 6 + 8 + 48 + 0 = 666.
It is a super-2 number, since 2×2576389492684802 (a number of 30 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 257638949268480.
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 127 ways as a sum of consecutive naturals, for example, 55561556722 + ... + 55561561358.
It is an arithmetic number, because the mean of its divisors is an integer number (717745341600).
Almost surely, 2257638949268480 is an apocalyptic number.
257638949268480 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 257638949268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505292720486400).
257638949268480 is an abundant number, since it is smaller than the sum of its proper divisors (752946491704320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
257638949268480 is a wasteful number, since it uses less digits than its factorization.
257638949268480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5446 (or 5422 counting only the distinct ones).
The product of its (nonzero) digits is 10032906240, while the sum is 81.
The spelling of 257638949268480 in words is "two hundred fifty-seven trillion, six hundred thirty-eight billion, nine hundred forty-nine million, two hundred sixty-eight thousand, four hundred eighty".
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