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56028183991200 = 2535521483119433
BaseRepresentation
bin11001011110101000101000…
…00000010001001110100000
321100101020112110211220200000
430233110110000101032200
524320431210100204300
6315054554205100000
714541621426050001
oct1457242400211640
9240336473756600
1056028183991200
1116941468236253
12634a779557600
132535586b41235
14db9ac859d1a8
1567264d0a4c00
hex32f5140113a0

56028183991200 has 432 divisors, whose sum is σ = 204911127098496. Its totient is φ = 14939072870400.

The previous prime is 56028183991177. The next prime is 56028183991217. The reversal of 56028183991200 is 219938182065.

56028183991200 is a `hidden beast` number, since 5 + 602 + 8 + 1 + 8 + 3 + 9 + 9 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2883136684 + ... + 2883156116.

It is an arithmetic number, because the mean of its divisors is an integer number (474331312728).

Almost surely, 256028183991200 is an apocalyptic number.

56028183991200 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 56028183991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102455563549248).

56028183991200 is an abundant number, since it is smaller than the sum of its proper divisors (148882943107296).

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

56028183991200 is a wasteful number, since it uses less digits than its factorization.

56028183991200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34299 (or 34274 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 56028183991200 in words is "fifty-six trillion, twenty-eight billion, one hundred eighty-three million, nine hundred ninety-one thousand, two hundred".