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5053259520 = 28345174761
BaseRepresentation
bin1001011010011001…
…01001111100000000
3111001011121011220000
410231030221330000
540322113301040
62153232520000
7236136666021
oct45514517400
914034534800
105053259520
112163484741
12b903b0000
13626bb87ba
1435d1a6c48
151e8977130
hex12d329f00

5053259520 has 720 divisors, whose sum is σ = 19872978048. Its totient is φ = 1220935680.

The previous prime is 5053259447. The next prime is 5053259521. The reversal of 5053259520 is 259523505.

5053259520 is a `hidden beast` number, since 50 + 5 + 32 + 59 + 520 = 666.

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

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5053259521) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82840290 + ... + 82840350.

Almost surely, 25053259520 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 5053259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9936489024).

5053259520 is an abundant number, since it is smaller than the sum of its proper divisors (14819718528).

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

5053259520 is a wasteful number, since it uses less digits than its factorization.

5053259520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The square root of 5053259520 is about 71086.2822209743. The cubic root of 5053259520 is about 1716.0260155477.

The spelling of 5053259520 in words is "five billion, fifty-three million, two hundred fifty-nine thousand, five hundred twenty".