Base | Representation |
---|---|
bin | 110111110000111101010110… |
… | …000111110000111000000000 |
3 | 1012011101100002101201120021000 |
4 | 313300331112013300320000 |
5 | 224121242224332114024 |
6 | 2225341254301532000 |
7 | 102442142106334203 |
oct | 6760752607607000 |
9 | 1164340071646230 |
10 | 245256962379264 |
11 | 71167991477780 |
12 | 23610538574000 |
13 | a6b082b26cb14 |
14 | 447c700c1d93a |
15 | 1d54a6a67dcc9 |
hex | df0f561f0e00 |
245256962379264 has 640 divisors, whose sum is σ = 851396421427200. Its totient is φ = 68910601789440.
The previous prime is 245256962379211. The next prime is 245256962379307. The reversal of 245256962379264 is 462973269652542.
245256962379264 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 569 + 6 + 2 + 37 + 9 + 26 + 4 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 245256962379192 and 245256962379201.
It is a congruent number.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 134890099 + ... + 136696205.
It is an arithmetic number, because the mean of its divisors is an integer number (1330306908480).
Almost surely, 2245256962379264 is an apocalyptic number.
245256962379264 is a gapful number since it is divisible by the number (24) 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 245256962379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425698210713600).
245256962379264 is an abundant number, since it is smaller than the sum of its proper divisors (606139459047936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
245256962379264 is a wasteful number, since it uses less digits than its factorization.
245256962379264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1806211 (or 1806189 counting only the distinct ones).
The product of its digits is 2351462400, while the sum is 72.
The spelling of 245256962379264 in words is "two hundred forty-five trillion, two hundred fifty-six billion, nine hundred sixty-two million, three hundred seventy-nine thousand, two hundred sixty-four".
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