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995981932765 = 511312491411369
BaseRepresentation
bin11100111111001010010…
…01100011100011011101
310112012210200201110110001
432133211021203203131
5112304232333322030
62041314153214301
7131646234513211
oct16374511434335
93465720643401
10995981932765
11354436921576
12141040401391
1372bc79bc671
14362c494c941
151ad93b22cca
hexe7e52638dd

995981932765 has 16 divisors (see below), whose sum is σ = 1206721350000. Its totient is φ = 789101494272.

The previous prime is 995981932753. The next prime is 995981932811. The reversal of 995981932765 is 567239189599.

995981932765 is a nontrivial binomial coefficient, being equal to C(1411370, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 2925836281 + 993056096484 = 54091^2 + 996522^2 .

It is a 7-Lehmer number, since φ(995981932765) divides (995981932765-1)7.

It is a cyclic number.

It is not a de Polignac number, because 995981932765 - 27 = 995981932637 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 1411369.

It is an arithmetic number, because the mean of its divisors is an integer number (75420084375).

It is a Poulet number, since it divides 2995981932764-1.

Almost surely, 2995981932765 is an apocalyptic number.

995981932765 is the 1411369-th triangular number and also the 705685-th hexagonal number.

995981932765 is the 470457-th centered nonagonal number.

It is an amenable number.

995981932765 is a deficient number, since it is larger than the sum of its proper divisors (210739417235).

995981932765 is a wasteful number, since it uses less digits than its factorization.

995981932765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412736.

The product of its digits is 330674400, while the sum is 73.

The spelling of 995981932765 in words is "nine hundred ninety-five billion, nine hundred eighty-one million, nine hundred thirty-two thousand, seven hundred sixty-five".

Divisors: 1 5 113 565 1249 6245 141137 705685 1411369 7056845 159484697 797423485 1762799881 8813999405 199196386553 995981932765