Search a number
-
+
12713437601640 = 2333511771701483
BaseRepresentation
bin1011100100000001001111…
…1011101001111101101000
31200000101121022210101121000
42321000103323221331220
53131244110011223030
643012250025515000
72451341556404136
oct271002373517550
950011538711530
1012713437601640
1140618140a64a6
121513b48642a60
13712b44aa6aa9
1431d495800756
15170a8ba69860
hexb9013ee9f68

12713437601640 has 64 divisors (see below), whose sum is σ = 42378125342400. Its totient is φ = 3390250026816.

The previous prime is 12713437601587. The next prime is 12713437601659. The reversal of 12713437601640 is 4610673431721.

12713437601640 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 3 + 4 + 37 + 601 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5885849662 + ... + 5885851821.

It is an arithmetic number, because the mean of its divisors is an integer number (662158208475).

Almost surely, 212713437601640 is an apocalyptic number.

12713437601640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12713437601640 is an abundant number, since it is smaller than the sum of its proper divisors (29664687740760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12713437601640 is a wasteful number, since it uses less digits than its factorization.

12713437601640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11771701503 (or 11771701493 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 12713437601640 in words is "twelve trillion, seven hundred thirteen billion, four hundred thirty-seven million, six hundred one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 11771701483 23543402966 35315104449 47086805932 58858507415 70630208898 94173611864 105945313347 117717014830 141260417796 176575522245 211890626694 235434029660 282520835592 317835940041 353151044490 423781253388 470868059320 529726566735 635671880082 706302088980 847562506776 1059453133470 1271343760164 1412604177960 1589179700205 2118906266940 2542687520328 3178359400410 4237812533880 6356718800820 12713437601640