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12730565232 = 2434711295383
BaseRepresentation
bin10111101101100110…
…10000001001110000
31012212012210201110000
423312303100021300
5202033011041412
65503124110000
7630322006350
oct136663201160
935765721400
1012730565232
1154430880a0
122573535300
13127b616248
1488aa70b60
154e797e4dc
hex2f6cd0270

12730565232 has 800 divisors, whose sum is σ = 49001863680. Its totient is φ = 3094640640.

The previous prime is 12730565213. The next prime is 12730565257. The reversal of 12730565232 is 23256503721.

12730565232 is a `hidden beast` number, since 1 + 2 + 73 + 0 + 565 + 23 + 2 = 666.

It is a super-2 number, since 2×127305652322 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 153380263 + ... + 153380345.

Almost surely, 212730565232 is an apocalyptic number.

12730565232 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 12730565232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24500931840).

12730565232 is an abundant number, since it is smaller than the sum of its proper divisors (36271298448).

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

12730565232 is a wasteful number, since it uses less digits than its factorization.

12730565232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 12730565232 in words is "twelve billion, seven hundred thirty million, five hundred sixty-five thousand, two hundred thirty-two".