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56096141036400 = 24335219216198887
BaseRepresentation
bin11001100000100111001101…
…00011110100101101110000
321100121201221112000111102000
430300103212203310231300
524323034344101131100
6315150113400254000
714546545445312133
oct1460234643645560
9240551845014360
1056096141036400
1116968270212123
12635b984171300
13253bac6c51a9a
14dbd0d3b3821a
156742c916a900
hex3304e68f4b70

56096141036400 has 720 divisors, whose sum is σ = 210876126278400. Its totient is φ = 14161309678080.

The previous prime is 56096141036387. The next prime is 56096141036413. The reversal of 56096141036400 is 463014169065.

56096141036400 is a `hidden beast` number, since 5 + 60 + 96 + 141 + 0 + 364 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56096141036387) and next prime (56096141036413).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×560961410364002 (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 143 ways as a sum of consecutive naturals, for example, 6312152757 + ... + 6312161643.

It is an arithmetic number, because the mean of its divisors is an integer number (292883508720).

Almost surely, 256096141036400 is an apocalyptic number.

56096141036400 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 56096141036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105438063139200).

56096141036400 is an abundant number, since it is smaller than the sum of its proper divisors (154779985242000).

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

56096141036400 is a wasteful number, since it uses less digits than its factorization.

56096141036400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10571 (or 10535 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 56096141036400 in words is "fifty-six trillion, ninety-six billion, one hundred forty-one million, thirty-six thousand, four hundred".