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3640220463 = 311419263269
BaseRepresentation
bin1101100011111001…
…0101101100101111
3100101200201100201010
43120332111230233
524423344023323
61401114320303
7156131235435
oct33076255457
910350640633
103640220463
1115a889a570
12857129093
13460223109
1426765cd55
151648a8c93
hexd8f95b2f

3640220463 has 16 divisors (see below), whose sum is σ = 5307523200. Its totient is φ = 2200920480.

The previous prime is 3640220459. The next prime is 3640220473.

It is a happy number.

3640220463 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3640220463 - 22 = 3640220459 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3640220463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640220443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117808 + ... + 145461.

It is an arithmetic number, because the mean of its divisors is an integer number (331720200).

Almost surely, 23640220463 is an apocalyptic number.

3640220463 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3640220463 is a deficient number, since it is larger than the sum of its proper divisors (1667302737).

3640220463 is a wasteful number, since it uses less digits than its factorization.

3640220463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263702.

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 3640220463 is about 60334.2395576508. The cubic root of 3640220463 is about 1538.3053916659.

It can be divided in two parts, 36402 and 20463, that added together give a palindrome (56865).

The spelling of 3640220463 in words is "three billion, six hundred forty million, two hundred twenty thousand, four hundred sixty-three".

Divisors: 1 3 11 33 419 1257 4609 13827 263269 789807 2895959 8687877 110309711 330929133 1213406821 3640220463