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12663363132 = 22327151332791
BaseRepresentation
bin10111100101100101…
…11001011000111100
31012200112100111111100
423302302321120330
5201413310110012
65452323453100
7625544545020
oct136262713074
935615314440
1012663363132
115409158172
122554b27190
13126a7170a4
14881b7a380
154e1b078dc
hex2f2cb963c

12663363132 has 72 divisors (see below), whose sum is σ = 36825431552. Its totient is φ = 3594132000.

The previous prime is 12663363127. The next prime is 12663363149. The reversal of 12663363132 is 23136336621.

12663363132 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 336 + 313 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128344 + ... + 204447.

Almost surely, 212663363132 is an apocalyptic number.

12663363132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12663363132 is an abundant number, since it is smaller than the sum of its proper divisors (24162068420).

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

12663363132 is a wasteful number, since it uses less digits than its factorization.

12663363132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332959 (or 332954 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

Adding to 12663363132 its reverse (23136336621), we get a palindrome (35799699753).

The spelling of 12663363132 in words is "twelve billion, six hundred sixty-three million, three hundred sixty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 151 252 302 453 604 906 1057 1359 1812 2114 2718 3171 4228 5436 6342 9513 12684 19026 38052 332791 665582 998373 1331164 1996746 2329537 2995119 3993492 4659074 5990238 6988611 9318148 11980476 13977222 20965833 27954444 41931666 50251441 83863332 100502882 150754323 201005764 301508646 351760087 452262969 603017292 703520174 904525938 1055280261 1407040348 1809051876 2110560522 3165840783 4221121044 6331681566 12663363132