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2564355341 = 9736177309
BaseRepresentation
bin1001100011011000…
…1111010100001101
320121201021202012202
42120312033110031
520222433332331
61102243011245
7120355442432
oct23066172415
96551252182
102564355341
1110a656a139
125b6969b25
1331b372932
141a4803b89
151001ddecb
hex98d8f50d

2564355341 has 8 divisors (see below), whose sum is σ = 2591862840. Its totient is φ = 2536869888.

The previous prime is 2564355323. The next prime is 2564355347. The reversal of 2564355341 is 1435534652.

2564355341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 958441 + 2563396900 = 979^2 + 50630^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2564355341 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2564355295 and 2564355304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564355347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347195 + ... + 354503.

It is an arithmetic number, because the mean of its divisors is an integer number (323982855).

Almost surely, 22564355341 is an apocalyptic number.

It is an amenable number.

2564355341 is a deficient number, since it is larger than the sum of its proper divisors (27507499).

2564355341 is an equidigital number, since it uses as much as digits as its factorization.

2564355341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11023.

The product of its digits is 216000, while the sum is 38.

The square root of 2564355341 is about 50639.4642645437. The cubic root of 2564355341 is about 1368.7561020113.

Adding to 2564355341 its reverse (1435534652), we get a palindrome (3999889993).

The spelling of 2564355341 in words is "two billion, five hundred sixty-four million, three hundred fifty-five thousand, three hundred forty-one".

Divisors: 1 97 3617 7309 350849 708973 26436653 2564355341