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12838476249 = 3217922112
BaseRepresentation
bin10111111010011101…
…11001100111011001
31020010201212011112100
423331032321213121
5202243122214444
65521541034013
7633102150624
oct137516714731
936121764470
1012838476249
115498a92255
1225a36b5909
131297a99811
1489b120dbb
15502197e69
hex2fd3b99d9

12838476249 has 27 divisors (see below), whose sum is σ = 18737445909. Its totient is φ = 8470831320.

The previous prime is 12838476229. The next prime is 12838476257. The reversal of 12838476249 is 94267483821.

The square root of 12838476249 is 113307.

It is a perfect power (a square), and thus also a powerful number.

12838476249 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 8 + 4 + 7 + 624 + 9 = 666.

It is not a de Polignac number, because 12838476249 - 29 = 12838475737 is a prime.

It is a super-2 number, since 2×128384762492 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12838476195 and 12838476204.

It is not an unprimeable number, because it can be changed into a prime (12838476229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60845754 + ... + 60845964.

Almost surely, 212838476249 is an apocalyptic number.

12838476249 is the 113307-th square number.

12838476249 is the 56654-th centered octagonal number.

It is an amenable number.

12838476249 is a deficient number, since it is larger than the sum of its proper divisors (5898969660).

12838476249 is an frugal number, since it uses more digits than its factorization.

12838476249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 393 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 12838476249 in words is "twelve billion, eight hundred thirty-eight million, four hundred seventy-six thousand, two hundred forty-nine".

Divisors: 1 3 9 179 211 537 633 1611 1899 32041 37769 44521 96123 113307 133563 288369 339921 400689 6760651 7969259 20281953 23907777 60845859 71723331 1426497361 4279492083 12838476249