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5287680801 = 3213155329101
BaseRepresentation
bin1001110110010101…
…11001101100100001
3111122111201000102200
410323022321230201
541312121241201
62232405203413
7245014355004
oct47312715441
914574630380
105287680801
112273837937
121036a00569
13663635310
1438238953b
1520e330386
hex13b2b9b21

5287680801 has 24 divisors (see below), whose sum is σ = 8230860456. Its totient is φ = 3251750400.

The previous prime is 5287680763. The next prime is 5287680857. The reversal of 5287680801 is 1080867825.

It can be written as a sum of positive squares in 4 ways, for example, as 728190225 + 4559490576 = 26985^2 + 67524^2 .

It is not a de Polignac number, because 5287680801 - 210 = 5287679777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5287680001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167151 + ... + 196251.

It is an arithmetic number, because the mean of its divisors is an integer number (342952519).

Almost surely, 25287680801 is an apocalyptic number.

It is an amenable number.

5287680801 is a deficient number, since it is larger than the sum of its proper divisors (2943179655).

5287680801 is a wasteful number, since it uses less digits than its factorization.

5287680801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30673 (or 30670 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 5287680801 is about 72716.4410639025. The cubic root of 5287680801 is about 1742.1614923597.

The spelling of 5287680801 in words is "five billion, two hundred eighty-seven million, six hundred eighty thousand, eight hundred one".

Divisors: 1 3 9 13 39 117 1553 4659 13977 20189 29101 60567 87303 181701 261909 378313 1134939 3404817 45193853 135581559 406744677 587520089 1762560267 5287680801