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13776807513 = 3722337110129
BaseRepresentation
bin11001101010010100…
…10110011001011001
31022120010111100001010
430311022112121121
5211203330320023
610155020444133
7665254634400
oct146512263131
938503440033
1013776807513
11592a715437
1228059a9649
1313b72c4311
149499b8637
15559747093
hex335296659

13776807513 has 48 divisors (see below), whose sum is σ = 22899991680. Its totient is φ = 7326595584.

The previous prime is 13776807493. The next prime is 13776807589. The reversal of 13776807513 is 31570867731.

13776807513 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 13776807513 - 213 = 13776799321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13776807113) 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 47 ways as a sum of consecutive naturals, for example, 70033 + ... + 180161.

It is an arithmetic number, because the mean of its divisors is an integer number (477083160).

Almost surely, 213776807513 is an apocalyptic number.

It is an amenable number.

13776807513 is a deficient number, since it is larger than the sum of its proper divisors (9123184167).

13776807513 is a wasteful number, since it uses less digits than its factorization.

13776807513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110206 (or 110199 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The spelling of 13776807513 in words is "thirteen billion, seven hundred seventy-six million, eight hundred seven thousand, five hundred thirteen".

Divisors: 1 3 7 21 23 37 49 69 111 147 161 259 483 777 851 1127 1813 2553 3381 5439 5957 17871 41699 110129 125097 330387 770903 2312709 2532967 4074773 5396321 7598901 12224319 16188963 17730769 28523411 53192307 85570233 93719779 124115383 199663877 281159337 372346149 598991631 656038453 1968115359 4592269171 13776807513