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12306863448 = 233211171138089
BaseRepresentation
bin10110111011000101…
…11101010101011000
31011202200112102212100
423131202331111120
5200201024112243
65353110443400
7613655420235
oct133542752530
934680472770
1012306863448
1152459a3730
122475663560
1312118c6629
1484a69a78c
154c06880d3
hex2dd8bd558

12306863448 has 192 divisors, whose sum is σ = 38845591200. Its totient is φ = 3478487040.

The previous prime is 12306863411. The next prime is 12306863449. The reversal of 12306863448 is 84436860321.

12306863448 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 6 + 8 + 634 + 4 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12306863449) 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 47 ways as a sum of consecutive naturals, for example, 1517388 + ... + 1525476.

Almost surely, 212306863448 is an apocalyptic number.

12306863448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12306863448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19422795600).

12306863448 is an abundant number, since it is smaller than the sum of its proper divisors (26538727752).

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

12306863448 is a wasteful number, since it uses less digits than its factorization.

12306863448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242 (or 8235 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 12306863448 in words is "twelve billion, three hundred six million, eight hundred sixty-three thousand, four hundred forty-eight".