Search a number
-
+
56057053363200 = 21036523003743
BaseRepresentation
bin11001011111011110011001…
…10000001011110000000000
321100111000001102122222000000
430233233030300023300000
524321414321130110300
6315120131012000000
714543663016500211
oct1457571460136000
9240430042588000
1056057053363200
111695273224577a
126354295900000
132538207bc0886
14dbb2667b5408
1567328c7e7c00
hex32fbccc0bc00

56057053363200 has 462 divisors, whose sum is σ = 208335181227744. Its totient is φ = 14948542586880.

The previous prime is 56057053363187. The next prime is 56057053363243. The reversal of 56057053363200 is 236335075065.

56057053363200 is a `hidden beast` number, since 5 + 6 + 0 + 5 + 7 + 0 + 5 + 3 + 3 + 632 + 0 + 0 = 666.

It is a super-2 number, since 2×560570533632002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 17160529 + ... + 20164271.

Almost surely, 256057053363200 is an apocalyptic number.

56057053363200 is a gapful number since it is divisible by the number (50) 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 56057053363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104167590613872).

56057053363200 is an abundant number, since it is smaller than the sum of its proper divisors (152278127864544).

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

56057053363200 is an equidigital number, since it uses as much as digits as its factorization.

56057053363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003791 (or 3003753 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 45.

The spelling of 56057053363200 in words is "fifty-six trillion, fifty-seven billion, fifty-three million, three hundred sixty-three thousand, two hundred".