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5753142720 = 26335131723131
BaseRepresentation
bin1010101101110100…
…11111110111000000
3112211221112221011000
411112322133313000
543240301031340
62350513452000
7262365622563
oct52672376700
915757487130
105753142720
112492554306
121146871000
13708bb6980
143c81104da
1523a124d30
hex156e9fdc0

5753142720 has 896 divisors, whose sum is σ = 24333281280. Its totient is φ = 1265172480.

The previous prime is 5753142713. The next prime is 5753142721. The reversal of 5753142720 is 272413575.

5753142720 is a `hidden beast` number, since 5 + 75 + 314 + 272 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5753142721) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 43917055 + ... + 43917185.

It is an arithmetic number, because the mean of its divisors is an integer number (27157680).

Almost surely, 25753142720 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 5753142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12166640640).

5753142720 is an abundant number, since it is smaller than the sum of its proper divisors (18580138560).

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

5753142720 is a wasteful number, since it uses less digits than its factorization.

5753142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 5753142720 is about 75849.4740917826. The cubic root of 5753142720 is about 1791.8502678359.

The spelling of 5753142720 in words is "five billion, seven hundred fifty-three million, one hundred forty-two thousand, seven hundred twenty".