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13452405201 = 3217223419941
BaseRepresentation
bin11001000011101001…
…10110100111010001
31021201112001222201200
430201310312213101
5210022303431301
610102511421413
7654235362144
oct144164664721
937645058650
1013452405201
115783594154
122735224869
1313650313a1
1491889205b
1553b017c86
hex321d369d1

13452405201 has 48 divisors (see below), whose sum is σ = 20737866240. Its totient is φ = 8373911040.

The previous prime is 13452405199. The next prime is 13452405217. The reversal of 13452405201 is 10250425431.

13452405201 is a `hidden beast` number, since 1 + 3 + 4 + 52 + 405 + 201 = 666.

13452405201 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 13452405201 - 21 = 13452405199 is a prime.

It is a super-3 number, since 3×134524052013 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13452405401) 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, 14295391 + ... + 14296331.

It is an arithmetic number, because the mean of its divisors is an integer number (432038880).

Almost surely, 213452405201 is an apocalyptic number.

It is an amenable number.

13452405201 is a deficient number, since it is larger than the sum of its proper divisors (7285461039).

13452405201 is a wasteful number, since it uses less digits than its factorization.

13452405201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 13452405201 in words is "thirteen billion, four hundred fifty-two million, four hundred five thousand, two hundred one".

Divisors: 1 3 9 17 51 153 223 419 669 941 1257 2007 2823 3771 3791 7123 8469 11373 15997 21369 34119 47991 64107 93437 143973 209843 280311 394279 629529 840933 1182837 1588429 1888587 3548511 3567331 4765287 6702743 10701993 14295861 20108229 32105979 60324687 87924217 263772651 791317953 1494711689 4484135067 13452405201