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12678490440 = 23335711152459
BaseRepresentation
bin10111100111011001…
…00110100101001000
31012201120211001021000
423303230212211020
5201431143143230
65454024015000
7626120250660
oct136354464510
935646731230
1012678490440
11541674a580
12255a001460
1312708b2665
14883b971a0
154e30e4b60
hex2f3b26948

12678490440 has 256 divisors, whose sum is σ = 52690176000. Its totient is φ = 2634474240.

The previous prime is 12678490427. The next prime is 12678490441. The reversal of 12678490440 is 4409487621.

12678490440 is a `hidden beast` number, since 126 + 7 + 84 + 9 + 0 + 440 = 666.

12678490440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12678490441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6931 + ... + 159389.

It is an arithmetic number, because the mean of its divisors is an integer number (205821000).

Almost surely, 212678490440 is an apocalyptic number.

12678490440 is a gapful number since it is divisible by the number (10) 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 12678490440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26345088000).

12678490440 is an abundant number, since it is smaller than the sum of its proper divisors (40011685560).

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

12678490440 is a wasteful number, since it uses less digits than its factorization.

12678490440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152497 (or 152487 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12678490440 in words is "twelve billion, six hundred seventy-eight million, four hundred ninety thousand, four hundred forty".