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13355157366 = 2346110313121
BaseRepresentation
bin11000111000000011…
…11000011101110110
31021110202002021210000
430130001320131312
5204322410013431
610045115212130
7651644651565
oct143401703566
937422067700
1013355157366
115733702441
122708747046
13134ab424a5
149099b9bdc
155327089e6
hex31c078776

13355157366 has 80 divisors (see below), whose sum is σ = 30713668128. Its totient is φ = 4335897600.

The previous prime is 13355157349. The next prime is 13355157367. The reversal of 13355157366 is 66375155331.

13355157366 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 515 + 73 + 66 = 666.

13355157366 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13355157367) 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 39 ways as a sum of consecutive naturals, for example, 1011286 + ... + 1024406.

Almost surely, 213355157366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13355157366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15356834064).

13355157366 is an abundant number, since it is smaller than the sum of its proper divisors (17358510762).

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

13355157366 is a wasteful number, since it uses less digits than its factorization.

13355157366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13299 (or 13290 counting only the distinct ones).

The product of its digits is 850500, while the sum is 45.

The spelling of 13355157366 in words is "thirteen billion, three hundred fifty-five million, one hundred fifty-seven thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 61 81 103 122 162 183 206 309 366 549 618 927 1098 1647 1854 2781 3294 4941 5562 6283 8343 9882 12566 13121 16686 18849 26242 37698 39363 56547 78726 113094 118089 169641 236178 339282 354267 508923 708534 800381 1017846 1062801 1351463 1600762 2125602 2401143 2702926 4054389 4802286 7203429 8108778 12163167 14406858 21610287 24326334 36489501 43220574 64830861 72979002 82439243 109468503 129661722 164878486 218937006 247317729 494635458 741953187 1483906374 2225859561 4451719122 6677578683 13355157366