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13334166692 = 22711971313407
BaseRepresentation
bin11000110101100011…
…10011110010100100
31021102021120211222122
430122301303302210
5204302021313232
610043045245112
7651301355360
oct143261636244
937367524878
1013334166692
115722875880
122701703798
1313466a3182
14906cb42a0
1553095e312
hex31ac73ca4

13334166692 has 96 divisors (see below), whose sum is σ = 29625716736. Its totient is φ = 5100825600.

The previous prime is 13334166689. The next prime is 13334166709. The reversal of 13334166692 is 29666143331.

13334166692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 31 ways as a sum of consecutive naturals, for example, 3912053 + ... + 3915459.

It is an arithmetic number, because the mean of its divisors is an integer number (308601216).

Almost surely, 213334166692 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13334166692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14812858368).

13334166692 is an abundant number, since it is smaller than the sum of its proper divisors (16291550044).

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

13334166692 is a wasteful number, since it uses less digits than its factorization.

13334166692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657 (or 3655 counting only the distinct ones).

The product of its digits is 419904, while the sum is 44.

The spelling of 13334166692 in words is "thirteen billion, three hundred thirty-four million, one hundred sixty-six thousand, six hundred ninety-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 97 131 154 194 262 308 388 524 679 917 1067 1358 1441 1834 2134 2716 2882 3407 3668 4268 5764 6814 7469 10087 12707 13628 14938 20174 23849 25414 29876 37477 40348 47698 50828 74954 88949 95396 139777 149908 177898 262339 279554 330479 355796 446317 524678 559108 660958 892634 978439 1049356 1321916 1785268 1956878 2313353 3124219 3635269 3913756 4626706 4909487 6248438 7270538 9253412 9818974 12496876 14541076 19637948 25446883 34366409 43292749 50893766 68732818 86585498 101787532 137465636 173170996 303049243 476220239 606098486 952440478 1212196972 1904880956 3333541673 6667083346 13334166692