Search a number
-
+
12685332540 = 223529113149433
BaseRepresentation
bin10111101000001101…
…01101000000111100
31012202001200122212010
423310012231000330
5201434421120130
65454430411220
7626232355536
oct136406550074
935661618763
1012685332540
11541a5a3101
122560360b10
131272139a3a
14884a58856
154e39e70b0
hex2f41ad03c

12685332540 has 192 divisors, whose sum is σ = 37403856000. Its totient is φ = 3208052736.

The previous prime is 12685332523. The next prime is 12685332559. The reversal of 12685332540 is 4523358621.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29296164 + ... + 29296596.

It is an arithmetic number, because the mean of its divisors is an integer number (194811750).

Almost surely, 212685332540 is an apocalyptic number.

12685332540 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 12685332540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18701928000).

12685332540 is an abundant number, since it is smaller than the sum of its proper divisors (24718523460).

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

12685332540 is a wasteful number, since it uses less digits than its factorization.

12685332540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 12685332540 in words is "twelve billion, six hundred eighty-five million, three hundred thirty-two thousand, five hundred forty".