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13249961133 = 343792575059
BaseRepresentation
bin11000101011100001…
…00101110010101101
31021012102010202200020
430111300211302231
5204113442224013
610030440352353
7646226545203
oct142560456255
937172122606
1013249961133
11568a291a02
1226994756b9
1313320cc7b6
148d9a35073
15528379623
hex315c25cad

13249961133 has 32 divisors (see below), whose sum is σ = 18381158400. Its totient is φ = 8483844096.

The previous prime is 13249961111. The next prime is 13249961173. The reversal of 13249961133 is 33116994231.

13249961133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13249961133 - 28 = 13249960877 is a prime.

It is a super-2 number, since 2×132499611332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13249961173) 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 31 ways as a sum of consecutive naturals, for example, 2616558 + ... + 2621616.

It is an arithmetic number, because the mean of its divisors is an integer number (574411200).

Almost surely, 213249961133 is an apocalyptic number.

It is an amenable number.

13249961133 is a deficient number, since it is larger than the sum of its proper divisors (5131197267).

13249961133 is a wasteful number, since it uses less digits than its factorization.

13249961133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441.

The product of its digits is 104976, while the sum is 42.

The spelling of 13249961133 in words is "thirteen billion, two hundred forty-nine million, nine hundred sixty-one thousand, one hundred thirty-three".

Divisors: 1 3 43 79 129 237 257 771 3397 5059 10191 11051 15177 20303 33153 60909 217537 399661 652611 873029 1198983 1300163 2619087 3900489 17185423 51556269 55907009 102712877 167721027 308138631 4416653711 13249961133