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987968513 = 74113725127
BaseRepresentation
bin111010111000110…
…011010000000001
32112212001000000102
4322320303100001
54010404443023
6242011332145
733324410450
oct7270632001
92485030012
10987968513
11467756404
12236a51055
131298b6a6c
14952d8b97
155bb06628
hex3ae33401

987968513 has 16 divisors (see below), whose sum is σ = 1165135104. Its totient is φ = 820112640.

The previous prime is 987968503. The next prime is 987968521. The reversal of 987968513 is 315869789.

It is a cyclic number.

It is not a de Polignac number, because 987968513 - 24 = 987968497 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (987968503) 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 15 ways as a sum of consecutive naturals, for example, 26756 + ... + 51882.

It is an arithmetic number, because the mean of its divisors is an integer number (72820944).

Almost surely, 2987968513 is an apocalyptic number.

It is an amenable number.

987968513 is a deficient number, since it is larger than the sum of its proper divisors (177166591).

987968513 is a wasteful number, since it uses less digits than its factorization.

987968513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25312.

The product of its digits is 3265920, while the sum is 56.

The square root of 987968513 is about 31431.9664195545. The cubic root of 987968513 is about 995.9733118793.

The spelling of 987968513 in words is "nine hundred eighty-seven million, nine hundred sixty-eight thousand, five hundred thirteen".

Divisors: 1 7 41 137 287 959 5617 25127 39319 175889 1030207 3442399 7211449 24096793 141138359 987968513