Search a number
-
+
56259992253312 = 2732379691186479
BaseRepresentation
bin11001100101011000011001…
…10110100111001110000000
321101012101212120222201211100
430302230030312213032000
524333230431004101222
6315353252244414400
714564436024551031
oct1462541466471600
9241171776881740
1056259992253312
1116a20801a28581
1263876916a7400
1325513aa049083
14dc6dd8d12a88
156786b8c8e4ac
hex332b0cda7380

56259992253312 has 192 divisors, whose sum is σ = 162556928352000. Its totient is φ = 18676681712640.

The previous prime is 56259992253301. The next prime is 56259992253313. The reversal of 56259992253312 is 21335229995265.

56259992253312 is a `hidden beast` number, since 5 + 6 + 2 + 5 + 9 + 9 + 92 + 2 + 533 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 56259992253312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56259992253313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301602889 + ... + 301789367.

It is an arithmetic number, because the mean of its divisors is an integer number (846650668500).

Almost surely, 256259992253312 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 56259992253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81278464176000).

56259992253312 is an abundant number, since it is smaller than the sum of its proper divisors (106296936098688).

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

56259992253312 is a wasteful number, since it uses less digits than its factorization.

56259992253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187569 (or 187554 counting only the distinct ones).

The product of its digits is 78732000, while the sum is 63.

The spelling of 56259992253312 in words is "fifty-six trillion, two hundred fifty-nine billion, nine hundred ninety-two million, two hundred fifty-three thousand, three hundred twelve".