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5300557056 = 2835139613
BaseRepresentation
bin1001110111111000…
…00001010100000000
3111200101221012100000
410323330001110000
541323420311211
62233545200000
7245231664054
oct47374012400
914611835300
105300557056
112280031a73
12103b190000
136661c30c2
14383d7bc64
15210525656
hex13bf01500

5300557056 has 216 divisors, whose sum is σ = 15988903840. Its totient is φ = 1751279616.

The previous prime is 5300557051. The next prime is 5300557079. The reversal of 5300557056 is 6507550035.

5300557056 is a `hidden beast` number, since 5 + 30 + 0 + 5 + 570 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×53005570562 = 56191810207822774272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5300557056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5300557051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8646606 + ... + 8647218.

Almost surely, 25300557056 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 5300557056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7994451920).

5300557056 is an abundant number, since it is smaller than the sum of its proper divisors (10688346784).

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

5300557056 is an equidigital number, since it uses as much as digits as its factorization.

5300557056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 36.

The square root of 5300557056 is about 72804.9246685964. The cubic root of 5300557056 is about 1743.5744830624.

The spelling of 5300557056 in words is "five billion, three hundred million, five hundred fifty-seven thousand, fifty-six".