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12703932792 = 233223291132341
BaseRepresentation
bin10111101010011011…
…01010000101111000
31012210100200122121100
423311031222011320
5202004201322132
65500333211400
7626546434635
oct136515520570
935710618540
1012703932792
11542a047811
122566630b60
131275c4ccc5
148872db18c
154e546d37c
hex2f536a178

12703932792 has 192 divisors, whose sum is σ = 37485115200. Its totient is φ = 3874590720.

The previous prime is 12703932751. The next prime is 12703932793. The reversal of 12703932792 is 29723930721.

It is a happy number.

It is a super-2 number, since 2×127039327922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12703932793) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5425542 + ... + 5427882.

It is an arithmetic number, because the mean of its divisors is an integer number (195234975).

Almost surely, 212703932792 is an apocalyptic number.

12703932792 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 12703932792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18742557600).

12703932792 is an abundant number, since it is smaller than the sum of its proper divisors (24781182408).

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

12703932792 is a wasteful number, since it uses less digits than its factorization.

12703932792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 12703932792 in words is "twelve billion, seven hundred three million, nine hundred thirty-two thousand, seven hundred ninety-two".