Search a number
-
+
56322820815360 = 2935112341706999
BaseRepresentation
bin11001100111001101011011…
…01110100011101000000000
321101102102001020000101020220
430303212231232203220000
524340243114112042420
6315442202514503040
714602122001533231
oct1463465556435000
9241372036011226
1056322820815360
1116a45413021120
1263978a6894a80
1325572b07c3ac8
14dca079303088
1567a1449be840
hex3339adba3a00

56322820815360 has 640 divisors, whose sum is σ = 209965561344000. Its totient is φ = 12741800755200.

The previous prime is 56322820815307. The next prime is 56322820815433. The reversal of 56322820815360 is 6351802822365.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79311141 + ... + 80018139.

It is an arithmetic number, because the mean of its divisors is an integer number (328071189600).

Almost surely, 256322820815360 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 56322820815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104982780672000).

56322820815360 is an abundant number, since it is smaller than the sum of its proper divisors (153642740528640).

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

56322820815360 is a wasteful number, since it uses less digits than its factorization.

56322820815360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707100 (or 707084 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 56322820815360 in words is "fifty-six trillion, three hundred twenty-two billion, eight hundred twenty million, eight hundred fifteen thousand, three hundred sixty".