Search a number
-
+
56809170685440 = 29345109223059
BaseRepresentation
bin11001110101010111010100…
…11100000100111000000000
321110010220101210002122110000
430322223222130010320000
524421230140143413230
6320453434524240000
714652220131320505
oct1472535234047000
9243126353078400
1056809170685440
11171126a7926a08
126455bb83a0000
13259110a971a14
1410058156c54ac
15687b0c07eb60
hex33aaea704e00

56809170685440 has 600 divisors, whose sum is σ = 205365251017080. Its totient is φ = 15009478557696.

The previous prime is 56809170685439. The next prime is 56809170685451. The reversal of 56809170685440 is 4458607190865.

56809170685440 is a `hidden beast` number, since 5 + 6 + 80 + 9 + 1 + 7 + 0 + 6 + 8 + 544 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2463632631 + ... + 2463655689.

Almost surely, 256809170685440 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 56809170685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102682625508540).

56809170685440 is an abundant number, since it is smaller than the sum of its proper divisors (148556080331640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56809170685440 is an equidigital number, since it uses as much as digits as its factorization.

56809170685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23312 (or 23178 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 56809170685440 in words is "fifty-six trillion, eight hundred nine billion, one hundred seventy million, six hundred eighty-five thousand, four hundred forty".