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2781642005 = 57315748541
BaseRepresentation
bin1010010111001100…
…0111110100010101
321011212011001110222
42211303013310111
521144100021010
61140004124125
7125634365312
oct24563076425
97155131428
102781642005
1111a818989a
12657696645
133543a031c
141c5605d09
15114310355
hexa5cc7d15

2781642005 has 16 divisors (see below), whose sum is σ = 3405318384. Its totient is φ = 2180805120.

The previous prime is 2781642001. The next prime is 2781642043. The reversal of 2781642005 is 5002461872.

It can be written as a sum of positive squares in 8 ways, for example, as 582594769 + 2199047236 = 24137^2 + 46894^2 .

It is not a de Polignac number, because 2781642005 - 22 = 2781642001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2781642001) 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, 33035 + ... + 81575.

It is an arithmetic number, because the mean of its divisors is an integer number (212832399).

Almost surely, 22781642005 is an apocalyptic number.

It is an amenable number.

2781642005 is a deficient number, since it is larger than the sum of its proper divisors (623676379).

2781642005 is a wasteful number, since it uses less digits than its factorization.

2781642005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48776.

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 2781642005 is about 52741.2742072089. The cubic root of 2781642005 is about 1406.3726498983.

The spelling of 2781642005 in words is "two billion, seven hundred eighty-one million, six hundred forty-two thousand, five".

Divisors: 1 5 73 157 365 785 11461 48541 57305 242705 3543493 7620937 17717465 38104685 556328401 2781642005