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12381430248 = 23321115633119
BaseRepresentation
bin10111000011111110…
…11010000111101000
31011221212211211021200
423201333122013220
5200324121231443
65404333004200
7615552264165
oct134177320750
934855754250
1012381430248
115283aa3890
122496623660
1312241a39b5
1485654b06c
154c6eb6dd3
hex2e1fda1e8

12381430248 has 48 divisors (see below), whose sum is σ = 36581500800. Its totient is φ = 3751948320.

The previous prime is 12381430247. The next prime is 12381430273. The reversal of 12381430248 is 84203418321.

It is a happy number.

12381430248 is a `hidden beast` number, since 1 + 2 + 381 + 4 + 30 + 248 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (12381430247) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7815768 + ... + 7817351.

It is an arithmetic number, because the mean of its divisors is an integer number (762114600).

Almost surely, 212381430248 is an apocalyptic number.

12381430248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12381430248 is an abundant number, since it is smaller than the sum of its proper divisors (24200070552).

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

12381430248 is a wasteful number, since it uses less digits than its factorization.

12381430248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15633142 (or 15633135 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 12381430248 its reverse (84203418321), we get a palindrome (96584848569).

The spelling of 12381430248 in words is "twelve billion, three hundred eighty-one million, four hundred thirty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 15633119 31266238 46899357 62532476 93798714 125064952 140698071 171964309 187597428 281396142 343928618 375194856 515892927 562792284 687857236 1031785854 1125584568 1375714472 1547678781 2063571708 3095357562 4127143416 6190715124 12381430248