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13200246612 = 223274152717
BaseRepresentation
bin11000100101100101…
…11100011101010100
31021001221121000011200
430102302330131110
5204013230342422
610021503032500
7645054150000
oct142262743524
937057530150
1013200246612
115664216723
12268489b730
131324a14317
148d31b3700
15523d092ac
hex312cbc754

13200246612 has 90 divisors (see below), whose sum is σ = 38926443738. Its totient is φ = 3771474336.

The previous prime is 13200246607. The next prime is 13200246629. The reversal of 13200246612 is 21664200231.

13200246612 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 0 + 2 + 46 + 612 = 666.

13200246612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12878618256 + 321628356 = 113484^2 + 17934^2 .

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 10078 + ... + 162794.

Almost surely, 213200246612 is an apocalyptic number.

13200246612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200246612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19463221869).

13200246612 is an abundant number, since it is smaller than the sum of its proper divisors (25726197126).

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

13200246612 is a wasteful number, since it uses less digits than its factorization.

13200246612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152755 (or 152729 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13200246612 its reverse (21664200231), we get a palindrome (34864446843).

The spelling of 13200246612 in words is "thirteen billion, two hundred million, two hundred forty-six thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 2401 3087 4116 4802 6174 7203 9604 12348 14406 21609 28812 43218 86436 152717 305434 458151 610868 916302 1069019 1374453 1832604 2138038 2748906 3207057 4276076 5497812 6414114 7483133 9621171 12828228 14966266 19242342 22449399 29932532 38484684 44898798 52381931 67348197 89797596 104763862 134696394 157145793 209527724 269392788 314291586 366673517 471437379 628583172 733347034 942874758 1100020551 1466694068 1885749516 2200041102 3300061653 4400082204 6600123306 13200246612