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13146616749 = 3721741128311
BaseRepresentation
bin11000011111001100…
…10111001110101101
31020221012200022211110
430033212113032231
5203411013213444
610012305342233
7643533253500
oct141746271655
936835608743
1013146616749
115636a16822
12266a937979
131316887986
148ca013137
1551e263cb9
hex30f9973ad

13146616749 has 48 divisors (see below), whose sum is σ = 22116882816. Its totient is φ = 6897945600.

The previous prime is 13146616729. The next prime is 13146616751. The reversal of 13146616749 is 94761664131.

It is not a de Polignac number, because 13146616749 - 29 = 13146616237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13146616698 and 13146616707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13146616729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38304 + ... + 166614.

It is an arithmetic number, because the mean of its divisors is an integer number (460768392).

Almost surely, 213146616749 is an apocalyptic number.

It is an amenable number.

13146616749 is a deficient number, since it is larger than the sum of its proper divisors (8970266067).

13146616749 is a wasteful number, since it uses less digits than its factorization.

13146616749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128386 (or 128379 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The spelling of 13146616749 in words is "thirteen billion, one hundred forty-six million, six hundred sixteen thousand, seven hundred forty-nine".

Divisors: 1 3 7 17 21 41 49 51 119 123 147 287 357 697 833 861 2009 2091 2499 4879 6027 14637 34153 102459 128311 384933 898177 2181287 2694531 5260751 6287239 6543861 15269009 15782253 18861717 36825257 45807027 89432767 106883063 110475771 257776799 268298301 320649189 626029369 773330397 1878088107 4382205583 13146616749