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2264776813 = 136721972
BaseRepresentation
bin1000011011111101…
…1100000001101101
312211211120120201201
42012333130001231
514114240324223
61012422005501
7110060166565
oct20677340155
95754516651
102264776813
11a62453382
12532576891
132a1291930
14176addda5
15d3c64ead
hex86fdc06d

2264776813 has 18 divisors (see below), whose sum is σ = 2488568586. Its totient is φ = 2048907168.

The previous prime is 2264776781. The next prime is 2264776817. The reversal of 2264776813 is 3186774622.

It can be written as a sum of positive squares in 3 ways, for example, as 1256206249 + 1008570564 = 35443^2 + 31758^2 .

It is not a de Polignac number, because 2264776813 - 25 = 2264776781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264776817) 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 17 ways as a sum of consecutive naturals, for example, 11496231 + ... + 11496427.

Almost surely, 22264776813 is an apocalyptic number.

It is an amenable number.

2264776813 is a deficient number, since it is larger than the sum of its proper divisors (223791773).

2264776813 is an frugal number, since it uses more digits than its factorization.

2264776813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 277 counting only the distinct ones).

The product of its digits is 677376, while the sum is 46.

The square root of 2264776813 is about 47589.6712848492. The cubic root of 2264776813 is about 1313.2330478980.

The spelling of 2264776813 in words is "two billion, two hundred sixty-four million, seven hundred seventy-six thousand, eight hundred thirteen".

Divisors: 1 13 67 197 871 2561 4489 13199 38809 58357 171587 504517 884333 2600203 11496329 33802639 174213601 2264776813