Search a number
-
+
2265462316441 = 891091297180053
BaseRepresentation
bin100000111101111000000…
…100111001110110011001
322000120112222000202201001
4200331320010321312121
5244104131323111231
64452423343425001
7322450160651422
oct40757004716631
98016488022631
102265462316441
117a3860465255
1230708a8b5161
1313582ab8c01c
147b912a6c649
153dde34cdb61
hex20f78139d99

2265462316441 has 16 divisors (see below), whose sum is σ = 2313729910800. Its totient is φ = 2217733613568.

The previous prime is 2265462316427. The next prime is 2265462316463. The reversal of 2265462316441 is 1446132645622.

2265462316441 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 8 ways, for example, as 559460616841 + 1706001699600 = 747971^2 + 1306140^2 .

It is a cyclic number.

It is not a de Polignac number, because 2265462316441 - 215 = 2265462283673 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2265462316391 and 2265462316400.

It is not an unprimeable number, because it can be changed into a prime (2265462316541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12492171 + ... + 12672223.

It is an arithmetic number, because the mean of its divisors is an integer number (144608119425).

Almost surely, 22265462316441 is an apocalyptic number.

It is an amenable number.

2265462316441 is a deficient number, since it is larger than the sum of its proper divisors (48267594359).

2265462316441 is a wasteful number, since it uses less digits than its factorization.

2265462316441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181548.

The product of its digits is 1658880, while the sum is 46.

The spelling of 2265462316441 in words is "two trillion, two hundred sixty-five billion, four hundred sixty-two million, three hundred sixteen thousand, four hundred forty-one".

Divisors: 1 89 109 1297 9701 115433 141373 180053 12582197 16024717 19625777 233528741 1746694153 20784057949 25454632769 2265462316441