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2256116759 = 13232328067
BaseRepresentation
bin1000011001111001…
…1001110000010111
312211020021121100222
42012132121300113
514110031214014
61011512224555
7106623450611
oct20636316027
95736247328
102256116759
11a58578a06
1252b69b15b
1329c54bc40
141758c7db1
15d310408e
hex86799c17

2256116759 has 12 divisors (see below), whose sum is σ = 2539902456. Its totient is φ = 1992016752.

The previous prime is 2256116749. The next prime is 2256116761. The reversal of 2256116759 is 9576116522.

It is a happy number.

2256116759 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2256116759 - 28 = 2256116503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256116749) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157157 + ... + 170910.

It is an arithmetic number, because the mean of its divisors is an integer number (211658538).

Almost surely, 22256116759 is an apocalyptic number.

2256116759 is a deficient number, since it is larger than the sum of its proper divisors (283785697).

2256116759 is a wasteful number, since it uses less digits than its factorization.

2256116759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328126 (or 328103 counting only the distinct ones).

The product of its digits is 226800, while the sum is 44.

The square root of 2256116759 is about 47498.5974424509. The cubic root of 2256116759 is about 1311.5570629443.

The spelling of 2256116759 in words is "two billion, two hundred fifty-six million, one hundred sixteen thousand, seven hundred fifty-nine".

Divisors: 1 13 23 299 529 6877 328067 4264871 7545541 98092033 173547443 2256116759