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3640880463 = 311176489983
BaseRepresentation
bin1101100100000011…
…0110110101001111
3100101201221220001120
43121000312311033
524424031133323
61401140412023
7156136654563
oct33100666517
910351856046
103640880463
1115a9200420
128573a7013
134603c464c
142677916a3
151649895e3
hexd9036d4f

3640880463 has 16 divisors (see below), whose sum is σ = 5607346176. Its totient is φ = 2076794240.

The previous prime is 3640880461. The next prime is 3640880479.

3640880463 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3640880463 - 21 = 3640880461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640880461) 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 15 ways as a sum of consecutive naturals, for example, 3244431 + ... + 3245552.

It is an arithmetic number, because the mean of its divisors is an integer number (350459136).

Almost surely, 23640880463 is an apocalyptic number.

3640880463 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3640880463 is a deficient number, since it is larger than the sum of its proper divisors (1966465713).

3640880463 is a wasteful number, since it uses less digits than its factorization.

3640880463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6490014.

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 3640880463 is about 60339.7088408620. The cubic root of 3640880463 is about 1538.3983549187.

The spelling of 3640880463 in words is "three billion, six hundred forty million, eight hundred eighty thousand, four hundred sixty-three".

Divisors: 1 3 11 17 33 51 187 561 6489983 19469949 71389813 110329711 214169439 330989133 1213626821 3640880463