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13114446246 = 23211435329063
BaseRepresentation
bin11000011011010111…
…01001000110100110
31020211222010220012100
430031223221012212
5203324244234441
610005200032530
7642662645106
oct141553510646
936758126170
1013114446246
11561a843630
122660002746
131310002a85
148c5a3b206
1551b50bcb6
hex30dae91a6

13114446246 has 96 divisors (see below), whose sum is σ = 32318237952. Its totient is φ = 3808284480.

The previous prime is 13114446239. The next prime is 13114446251. The reversal of 13114446246 is 64264441131.

13114446246 is a `hidden beast` number, since 13 + 1 + 14 + 4 + 4 + 624 + 6 = 666.

13114446246 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13114446246.

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 47 ways as a sum of consecutive naturals, for example, 436711 + ... + 465773.

It is an arithmetic number, because the mean of its divisors is an integer number (336648312).

Almost surely, 213114446246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114446246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16159118976).

13114446246 is an abundant number, since it is smaller than the sum of its proper divisors (19203791706).

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

13114446246 is a wasteful number, since it uses less digits than its factorization.

13114446246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29178 (or 29175 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 13114446246 its reverse (64264441131), we get a palindrome (77378887377).

The spelling of 13114446246 in words is "thirteen billion, one hundred fourteen million, four hundred forty-six thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 43 53 66 86 99 106 129 159 198 258 318 387 473 477 583 774 946 954 1166 1419 1749 2279 2838 3498 4257 4558 5247 6837 8514 10494 13674 20511 25069 29063 41022 50138 58126 75207 87189 150414 174378 225621 261567 319693 451242 523134 639386 959079 1249709 1540339 1918158 2499418 2877237 3080678 3749127 4621017 5754474 7498254 9242034 11247381 13746799 13863051 16943729 22494762 27493598 27726102 33887458 41240397 50831187 66234577 82480794 101662374 123721191 132469154 152493561 198703731 247442382 304987122 397407462 596111193 728580347 1192222386 1457160694 2185741041 4371482082 6557223123 13114446246