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5296254768 = 243373311153
BaseRepresentation
bin1001110111010111…
…00110111100110000
3111200002211121201000
410323223212330300
541321320123033
62233313042000
7245150265000
oct47353467460
914602747630
105296254768
112278663662
121039856300
13665347a7c
1438357c000
1520ee75a13
hex13bae6f30

5296254768 has 320 divisors, whose sum is σ = 18316288000. Its totient is φ = 1463132160.

The previous prime is 5296254767. The next prime is 5296254779. The reversal of 5296254768 is 8674526925.

5296254768 is a `hidden beast` number, since 5 + 2 + 9 + 625 + 4 + 7 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5296254767) 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 63 ways as a sum of consecutive naturals, for example, 4592880 + ... + 4594032.

It is an arithmetic number, because the mean of its divisors is an integer number (57238400).

Almost surely, 25296254768 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 5296254768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9158144000).

5296254768 is an abundant number, since it is smaller than the sum of its proper divisors (13020033232).

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

5296254768 is a wasteful number, since it uses less digits than its factorization.

5296254768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1196 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 5296254768 is about 72775.3719880565. The cubic root of 5296254768 is about 1743.1026213349.

The spelling of 5296254768 in words is "five billion, two hundred ninety-six million, two hundred fifty-four thousand, seven hundred sixty-eight".