Search a number
-
+
12603800664 = 23337132922111
BaseRepresentation
bin10111011110011111…
…01011110001011000
31012112101021102011000
423233033223301120
5201303033110124
65442355105000
7624222352350
oct135717536130
935471242130
1012603800664
115388575a94
122538ba2160
13125b291320
14877cb3b60
154db78e6c9
hex2ef3ebc58

12603800664 has 256 divisors, whose sum is σ = 44577792000. Its totient is φ = 3209310720.

The previous prime is 12603800653. The next prime is 12603800669. The reversal of 12603800664 is 46600830621.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12603800669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 558969 + ... + 581079.

It is an arithmetic number, because the mean of its divisors is an integer number (174132000).

Almost surely, 212603800664 is an apocalyptic number.

12603800664 is a gapful number since it is divisible by the number (14) 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 12603800664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22288896000).

12603800664 is an abundant number, since it is smaller than the sum of its proper divisors (31973991336).

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

12603800664 is a wasteful number, since it uses less digits than its factorization.

12603800664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22175 (or 22165 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12603800664 in words is "twelve billion, six hundred three million, eight hundred thousand, six hundred sixty-four".