Search a number
-
+
56994557570496 = 2634713241832731
BaseRepresentation
bin11001111010110000101000…
…10110111010110111000000
321110210121220201020011210000
430331120110112322313000
524432244323214223441
6321114534400440000
715001502160665040
oct1475302426726700
9243717821204700
1056994557570496
111718428a9a3607
126485b16019000
1325a5743643b00
1410107a0ad1720
1568c85c6622b6
hex33d6145badc0

56994557570496 has 1680 divisors, whose sum is σ = 216840020398848. Its totient is φ = 14482918195200.

The previous prime is 56994557570477. The next prime is 56994557570527. The reversal of 56994557570496 is 69407575549965.

56994557570496 is a `hidden beast` number, since 5 + 6 + 9 + 9 + 4 + 5 + 57 + 5 + 70 + 496 = 666.

56994557570496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 239 ways as a sum of consecutive naturals, for example, 20869481451 + ... + 20869484181.

Almost surely, 256994557570496 is an apocalyptic number.

56994557570496 is a gapful number since it is divisible by the number (56) 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 56994557570496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108420010199424).

56994557570496 is an abundant number, since it is smaller than the sum of its proper divisors (159845462828352).

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

56994557570496 is a wasteful number, since it uses less digits than its factorization.

56994557570496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 12859560000, while the sum is 81.

The spelling of 56994557570496 in words is "fifty-six trillion, nine hundred ninety-four billion, five hundred fifty-seven million, five hundred seventy thousand, four hundred ninety-six".