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5286599136 = 253571331241
BaseRepresentation
bin1001110110001101…
…10001100111100000
3111122102200001200000
410323012301213200
541311332133021
62232330100000
7245002231320
oct47306614740
914572601600
105286599136
1122731691a5
12103657a600
13663346b90
14382187280
1520e1b9b26
hex13b1b19e0

5286599136 has 576 divisors, whose sum is σ = 19889565696. Its totient is φ = 1343692800.

The previous prime is 5286599111. The next prime is 5286599137. The reversal of 5286599136 is 6319956825.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5286599137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21935976 + ... + 21936216.

It is an arithmetic number, because the mean of its divisors is an integer number (34530496).

Almost surely, 25286599136 is an apocalyptic number.

5286599136 is a gapful number since it is divisible by the number (56) 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 5286599136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9944782848).

5286599136 is an abundant number, since it is smaller than the sum of its proper divisors (14602966560).

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

5286599136 is a wasteful number, since it uses less digits than its factorization.

5286599136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 297 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The square root of 5286599136 is about 72709.0031289111. The cubic root of 5286599136 is about 1742.0426902048.

The spelling of 5286599136 in words is "five billion, two hundred eighty-six million, five hundred ninety-nine thousand, one hundred thirty-six".