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12638384300 = 2252163775361
BaseRepresentation
bin10111100010100111…
…00111000010101100
31012121210100102222102
423301103213002230
5201340411244200
65450032234232
7625122331313
oct136123470254
935553312872
1012638384300
1153a6047203
12254869b978
1312654ac709
1487c71727a
154de8216d5
hex2f14e70ac

12638384300 has 36 divisors (see below), whose sum is σ = 27593582856. Its totient is φ = 5024332800.

The previous prime is 12638384249. The next prime is 12638384347. The reversal of 12638384300 is 348383621.

12638384300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×126383843003 (a number of 31 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 371381 + ... + 403980.

Almost surely, 212638384300 is an apocalyptic number.

12638384300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12638384300 is an abundant number, since it is smaller than the sum of its proper divisors (14955198556).

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

12638384300 is a wasteful number, since it uses less digits than its factorization.

12638384300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775538 (or 775531 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 12638384300 in words is "twelve billion, six hundred thirty-eight million, three hundred eighty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 815 1630 3260 4075 8150 16300 775361 1550722 3101444 3876805 7753610 15507220 19384025 38768050 77536100 126383843 252767686 505535372 631919215 1263838430 2527676860 3159596075 6319192150 12638384300