Search a number
-
+
12604903680 = 283547211331
BaseRepresentation
bin10111011110100111…
…11001000100000000
31012112110100110012110
423233103321010000
5201303323404210
65442434455320
7624234625215
oct135723710400
935473313173
1012604903680
115389159776
122539434540
13125b5893b5
148780bdb0c
154db90b420
hex2ef4f9100

12604903680 has 288 divisors, whose sum is σ = 41433090048. Its totient is φ = 3264307200.

The previous prime is 12604903673. The next prime is 12604903687. The reversal of 12604903680 is 8630940621.

It is an interprime number because it is at equal distance from previous prime (12604903673) and next prime (12604903687).

It is not an unprimeable number, because it can be changed into a prime (12604903687) 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, 38081115 + ... + 38081445.

It is an arithmetic number, because the mean of its divisors is an integer number (143864896).

Almost surely, 212604903680 is an apocalyptic number.

12604903680 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 12604903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20716545024).

12604903680 is an abundant number, since it is smaller than the sum of its proper divisors (28828186368).

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

12604903680 is a wasteful number, since it uses less digits than its factorization.

12604903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 12604903680 in words is "twelve billion, six hundred four million, nine hundred three thousand, six hundred eighty".