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3640562816 = 27112235057
BaseRepresentation
bin1101100011111110…
…1001010010000000
3100101201100202022212
43120333221102000
524423441002231
61401125521252
7156134162522
oct33077512200
910351322285
103640562816
1115a9003800
12857273228
13460312ba7
1426770ba12
1516492542b
hexd8fe9480

3640562816 has 48 divisors (see below), whose sum is σ = 7971992070. Its totient is φ = 1654794240.

The previous prime is 3640562813. The next prime is 3640562819. The reversal of 3640562816 is 6182650463.

It is an interprime number because it is at equal distance from previous prime (3640562813) and next prime (3640562819).

It can be written as a sum of positive squares in only one way, i.e., 3424590400 + 215972416 = 58520^2 + 14696^2 .

It is not an unprimeable number, because it can be changed into a prime (3640562813) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102041 + ... + 133016.

Almost surely, 23640562816 is an apocalyptic number.

It is an amenable number.

3640562816 is an abundant number, since it is smaller than the sum of its proper divisors (4331429254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3640562816 is a wasteful number, since it uses less digits than its factorization.

3640562816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235093 (or 235070 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 3640562816 is about 60337.0766278911. The cubic root of 3640562816 is about 1538.3536146570.

The spelling of 3640562816 in words is "three billion, six hundred forty million, five hundred sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 7744 15488 235057 470114 940228 1880456 2585627 3760912 5171254 7521824 10342508 15043648 20685016 28441897 30087296 41370032 56883794 82740064 113767588 165480128 227535176 330960256 455070352 910140704 1820281408 3640562816