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12684521472 = 21237316771
BaseRepresentation
bin10111101000000111…
…00111000000000000
31012202000011110021120
423310003213000000
5201434214141342
65454401152240
7626222440110
oct136403470000
935660143246
1012684521472
11541a0997a7
12256002b680
131271c1480c
148848c7040
154e38d6aec
hex2f40e7000

12684521472 has 416 divisors, whose sum is σ = 41065611264. Its totient is φ = 3406233600.

The previous prime is 12684521471. The next prime is 12684521483. The reversal of 12684521472 is 27412548621.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12684521471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178655197 + ... + 178655267.

Almost surely, 212684521472 is an apocalyptic number.

12684521472 is a gapful number since it is divisible by the number (12) 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 12684521472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20532805632).

12684521472 is an abundant number, since it is smaller than the sum of its proper divisors (28381089792).

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

12684521472 is an equidigital number, since it uses as much as digits as its factorization.

12684521472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The spelling of 12684521472 in words is "twelve billion, six hundred eighty-four million, five hundred twenty-one thousand, four hundred seventy-two".