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13445606214 = 23261101263461
BaseRepresentation
bin11001000010110101…
…11010101101000110
31021201001021120021100
430201122322231012
5210014033344324
610102110000530
7654123524055
oct144132725506
937631246240
1013445606214
11577a76aa57
122732aa6146
1313637c0811
14917a0239c
1553a6234c9
hex3216bab46

13445606214 has 96 divisors (see below), whose sum is σ = 30081699648. Its totient is φ = 4338720000.

The previous prime is 13445606147. The next prime is 13445606219. The reversal of 13445606214 is 41260654431.

13445606214 is a `hidden beast` number, since 1 + 3 + 4 + 45 + 606 + 2 + 1 + 4 = 666.

13445606214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13445606219) 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, 29165944 + ... + 29166404.

It is an arithmetic number, because the mean of its divisors is an integer number (313351038).

Almost surely, 213445606214 is an apocalyptic number.

13445606214 is an abundant number, since it is smaller than the sum of its proper divisors (16636093434).

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

13445606214 is a wasteful number, since it uses less digits than its factorization.

13445606214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13445606214 in words is "thirteen billion, four hundred forty-five million, six hundred six thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 61 101 122 183 202 263 303 366 461 526 549 606 789 909 922 1098 1383 1578 1818 2367 2766 4149 4734 6161 8298 12322 16043 18483 26563 28121 32086 36966 46561 48129 53126 55449 56242 79689 84363 93122 96258 110898 121243 139683 144387 159378 168726 239067 242486 253089 279366 288774 363729 419049 478134 506178 727458 838098 1091187 1620343 2182374 2840221 3240686 4861029 5680442 7395823 8520663 9722058 12245543 14583087 14791646 17041326 22187469 24491086 25561989 29166174 36736629 44374938 51123978 66562407 73473258 110209887 133124814 220419774 746978123 1493956246 2240934369 4481868738 6722803107 13445606214