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2561688041 = 11733190147
BaseRepresentation
bin1001100010110000…
…0100000111101001
320121112021020100212
42120230010013221
520221243004131
61102105510505
7120323663153
oct23054040751
96545236325
102561688041
1110a5008160
125b5aa2435
1331a94a853
141a430bad3
15eed63a2b
hex98b041e9

2561688041 has 8 divisors (see below), whose sum is σ = 2832851424. Its totient is φ = 2296905120.

The previous prime is 2561688037. The next prime is 2561688067. The reversal of 2561688041 is 1408861652.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2561688041 - 22 = 2561688037 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2561688041.

It is not an unprimeable number, because it can be changed into a prime (2561688011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1594271 + ... + 1595876.

It is an arithmetic number, because the mean of its divisors is an integer number (354106428).

Almost surely, 22561688041 is an apocalyptic number.

It is an amenable number.

2561688041 is a deficient number, since it is larger than the sum of its proper divisors (271163383).

2561688041 is a wasteful number, since it uses less digits than its factorization.

2561688041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190231.

The product of its (nonzero) digits is 92160, while the sum is 41.

The square root of 2561688041 is about 50613.1212335299. The cubic root of 2561688041 is about 1368.2813693511.

The spelling of 2561688041 in words is "two billion, five hundred sixty-one million, six hundred eighty-eight thousand, forty-one".

Divisors: 1 11 73 803 3190147 35091617 232880731 2561688041