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13106649366 = 234737914029
BaseRepresentation
bin11000011010011011…
…11001100100010110
31020211102110202220000
430031031321210112
5203320300234431
610004320552130
7642536452506
oct141515714426
936742422800
1013106649366
1156163a8728
122659482646
13130b502c35
148c49aba06
1551a9bb9e6
hex30d379916

13106649366 has 80 divisors (see below), whose sum is σ = 30149908800. Its totient is φ = 4254187392.

The previous prime is 13106649359. The next prime is 13106649377. The reversal of 13106649366 is 66394660131.

13106649366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 927240 + ... + 941268.

It is an arithmetic number, because the mean of its divisors is an integer number (376873860).

Almost surely, 213106649366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13106649366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15074954400).

13106649366 is an abundant number, since it is smaller than the sum of its proper divisors (17043259434).

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

13106649366 is a wasteful number, since it uses less digits than its factorization.

13106649366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14195 (or 14186 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 13106649366 in words is "thirteen billion, one hundred six million, six hundred forty-nine thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 73 79 81 146 158 162 219 237 438 474 657 711 1314 1422 1971 2133 3942 4266 5767 5913 6399 11534 11826 12798 14029 17301 28058 34602 42087 51903 84174 103806 126261 155709 252522 311418 378783 467127 757566 934254 1024117 1108291 1136349 2048234 2216582 2272698 3072351 3324873 6144702 6649746 9217053 9974619 18434106 19949238 27651159 29923857 55302318 59847714 80905243 82953477 89771571 161810486 165906954 179543142 242715729 485431458 728147187 1456294374 2184441561 4368883122 6553324683 13106649366