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5057463640320 = 283457213731049
BaseRepresentation
bin100100110011000100001…
…0100101110000100000000
3122220111012100002111210000
41021212020110232010000
51130330141142442240
614431211113440000
71031250443434200
oct111461024560400
918814170074700
105057463640320
11167a949416aa3
12698206410000
132a8bbc2013c0
14136ad5442400
158b852465430
hex4998852e100

5057463640320 has 2160 divisors, whose sum is σ = 23002838535600. Its totient is φ = 1051448573952.

The previous prime is 5057463640301. The next prime is 5057463640331. The reversal of 5057463640320 is 230463647505.

5057463640320 is a `hidden beast` number, since 5 + 0 + 5 + 7 + 4 + 636 + 4 + 0 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 146313216 + 5057317327104 = 12096^2 + 2248848^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-3 number, since 3×50574636403203 (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4821223156 + ... + 4821224204.

It is an arithmetic number, because the mean of its divisors is an integer number (10649462285).

Almost surely, 25057463640320 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 5057463640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11501419267800).

5057463640320 is an abundant number, since it is smaller than the sum of its proper divisors (17945374895280).

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

5057463640320 is a wasteful number, since it uses less digits than its factorization.

5057463640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 5057463640320 in words is "five trillion, fifty-seven billion, four hundred sixty-three million, six hundred forty thousand, three hundred twenty".