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13628196306 = 232799583823
BaseRepresentation
bin11001011000100110…
…11100010111010010
31022011202212002210100
430230103130113102
5210402304240211
610132151313230
7661501520514
oct145423342722
938152762710
1013628196306
11586384165a
12278407b816
1313925905aa
14933d71bb4
1554b68e156
hex32c4dc5d2

13628196306 has 24 divisors (see below), whose sum is σ = 29901530880. Its totient is φ = 4485228696.

The previous prime is 13628196301. The next prime is 13628196311. The reversal of 13628196306 is 60369182631.

13628196306 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 8 + 1 + 9 + 630 + 6 = 666.

13628196306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13628196301) and next prime (13628196311).

It is not an unprimeable number, because it can be changed into a prime (13628196301) 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 11 ways as a sum of consecutive naturals, for example, 4790490 + ... + 4793333.

It is an arithmetic number, because the mean of its divisors is an integer number (1245897120).

Almost surely, 213628196306 is an apocalyptic number.

13628196306 is an abundant number, since it is smaller than the sum of its proper divisors (16273334574).

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

13628196306 is a wasteful number, since it uses less digits than its factorization.

13628196306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9583910 (or 9583907 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13628196306 in words is "thirteen billion, six hundred twenty-eight million, one hundred ninety-six thousand, three hundred six".

Divisors: 1 2 3 6 9 18 79 158 237 474 711 1422 9583823 19167646 28751469 57502938 86254407 172508814 757122017 1514244034 2271366051 4542732102 6814098153 13628196306