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5057555852800 = 295211414212081
BaseRepresentation
bin100100110011000110111…
…0100011110111000000000
3122220111102202121101112001
41021212031310132320000
51130330333244242200
614431224210113344
71031252643303223
oct111461564367000
918814382541461
105057555852800
11167a996479660
1269823127b854
132a8c053493b9
14136b037a75ba
158b85a5cc76a
hex4998dd1ee00

5057555852800 has 480 divisors, whose sum is σ = 14043037000608. Its totient is φ = 1789132800000.

The previous prime is 5057555852747. The next prime is 5057555852857. The reversal of 5057555852800 is 82585557505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2430347760 + ... + 2430349840.

Almost surely, 25057555852800 is an apocalyptic number.

5057555852800 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 5057555852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021518500304).

5057555852800 is an abundant number, since it is smaller than the sum of its proper divisors (8985481147808).

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

5057555852800 is a wasteful number, since it uses less digits than its factorization.

5057555852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 14000000, while the sum is 55.

The spelling of 5057555852800 in words is "five trillion, fifty-seven billion, five hundred fifty-five million, eight hundred fifty-two thousand, eight hundred".