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5059307520 = 21133529631
BaseRepresentation
bin1001011011000111…
…01110100000000000
3111001120222110012000
410231203232200000
540330140320040
62154010304000
7236242255461
oct45543564000
914046873160
105059307520
112166935693
12b92428000
136282255b7
1435dcdcd68
151e926e130
hex12d8ee800

5059307520 has 384 divisors, whose sum is σ = 18633888000. Its totient is φ = 1300561920.

The previous prime is 5059307507. The next prime is 5059307521. The reversal of 5059307520 is 257039505.

5059307520 is a `hidden beast` number, since 50 + 59 + 30 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (5059307521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8017605 + ... + 8018235.

It is an arithmetic number, because the mean of its divisors is an integer number (48525750).

Almost surely, 25059307520 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 5059307520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9316944000).

5059307520 is an abundant number, since it is smaller than the sum of its proper divisors (13574580480).

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

5059307520 is a wasteful number, since it uses less digits than its factorization.

5059307520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 5059307520 is about 71128.8093531728. The cubic root of 5059307520 is about 1716.7103519009.

The spelling of 5059307520 in words is "five billion, fifty-nine million, three hundred seven thousand, five hundred twenty".