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5057788262400 = 21134527189193
BaseRepresentation
bin100100110011001101110…
…1011000011100000000000
3122220112000221221000120000
41021212123223003200000
51130331322243344100
614431303231320000
71031261464613226
oct111463353034000
918815027830500
105057788262400
11167aaa5688405
12698297080000
132a8c41540383
14136b265c4b16
158b870bd9900
hex4999bac3800

5057788262400 has 1440 divisors, whose sum is σ = 19309796906400. Its totient is φ = 1307993702400.

The previous prime is 5057788262399. The next prime is 5057788262411. The reversal of 5057788262400 is 42628877505.

5057788262400 is a `hidden beast` number, since 5 + 0 + 5 + 7 + 7 + 8 + 8 + 2 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×50577882624002 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 26206156704 + ... + 26206156896.

It is an arithmetic number, because the mean of its divisors is an integer number (13409581185).

Almost surely, 25057788262400 is an apocalyptic number.

5057788262400 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 5057788262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9654898453200).

5057788262400 is an abundant number, since it is smaller than the sum of its proper divisors (14252008644000).

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

5057788262400 is a wasteful number, since it uses less digits than its factorization.

5057788262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 5057788262400 in words is "five trillion, fifty-seven billion, seven hundred eighty-eight million, two hundred sixty-two thousand, four hundred".