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5268879360 = 211335171959
BaseRepresentation
bin1001110100000110…
…01011100000000000
3111121012022210201000
410322003023200000
541242313114420
62230454212000
7244365510213
oct47203134000
914535283630
105268879360
112264166058
121030654000
1365c7815c4
1437da9377a
1520c869690
hex13a0cb800

5268879360 has 768 divisors, whose sum is σ = 21228480000. Its totient is φ = 1231552512.

The previous prime is 5268879323. The next prime is 5268879361. The reversal of 5268879360 is 639788625.

It is a happy number.

5268879360 is a `hidden beast` number, since 526 + 8 + 87 + 9 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×52688793602 = 55522179420468019200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5268879297 and 5268879306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5268879361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89303011 + ... + 89303069.

It is an arithmetic number, because the mean of its divisors is an integer number (27641250).

Almost surely, 25268879360 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 5268879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240000).

5268879360 is an abundant number, since it is smaller than the sum of its proper divisors (15959600640).

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

5268879360 is a wasteful number, since it uses less digits than its factorization.

5268879360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 5268879360 is about 72587.0467783337. The cubic root of 5268879360 is about 1740.0941685064.

The spelling of 5268879360 in words is "five billion, two hundred sixty-eight million, eight hundred seventy-nine thousand, three hundred sixty".