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11263834673 = 721337974657
BaseRepresentation
bin10100111110110000…
…00111101000110001
31002001222220002100222
422133120013220301
5141032020202143
65101411022425
7546062005100
oct123730075061
932058802328
1011263834673
114860160783
12222429aa15
1310a67a2140
1478bd4c037
1545dd07768
hex29f607a31

11263834673 has 24 divisors (see below), whose sum is σ = 14117485032. Its totient is φ = 8907784704.

The previous prime is 11263834669. The next prime is 11263834691. The reversal of 11263834673 is 37643836211.

11263834673 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 1350048049 + 9913786624 = 36743^2 + 99568^2 .

It is not a de Polignac number, because 11263834673 - 22 = 11263834669 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11263834663) 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 23 ways as a sum of consecutive naturals, for example, 2416361 + ... + 2421017.

It is an arithmetic number, because the mean of its divisors is an integer number (588228543).

Almost surely, 211263834673 is an apocalyptic number.

11263834673 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11263834673 is a deficient number, since it is larger than the sum of its proper divisors (2853650359).

11263834673 is a wasteful number, since it uses less digits than its factorization.

11263834673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8481 (or 8474 counting only the distinct ones).

The product of its digits is 435456, while the sum is 44.

The spelling of 11263834673 in words is "eleven billion, two hundred sixty-three million, eight hundred thirty-four thousand, six hundred seventy-three".

Divisors: 1 7 13 49 91 637 3797 4657 26579 32599 49361 60541 186053 228193 345527 423787 2418689 2966509 17682629 123778403 229874177 866448821 1609119239 11263834673