Search a number
-
+
12558064896 = 2832131922067
BaseRepresentation
bin10111011001000010…
…01101110100000000
31012102012012210110200
423230201031310000
5201204331034041
65434042525200
7623125535046
oct135441156400
935365183420
1012558064896
115364778033
122525806800
131251969b40
14871baa396
154d77581b6
hex2ec84dd00

12558064896 has 216 divisors, whose sum is σ = 41047362720. Its totient is φ = 3660484608.

The previous prime is 12558064879. The next prime is 12558064969. The reversal of 12558064896 is 69846085521.

12558064896 is a `hidden beast` number, since 1 + 2 + 558 + 0 + 6 + 4 + 89 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558055 + ... + 580121.

Almost surely, 212558064896 is an apocalyptic number.

12558064896 is a gapful number since it is divisible by the number (16) 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 12558064896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20523681360).

12558064896 is an abundant number, since it is smaller than the sum of its proper divisors (28489297824).

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

12558064896 is a wasteful number, since it uses less digits than its factorization.

12558064896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22121 (or 22104 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 12558064896 in words is "twelve billion, five hundred fifty-eight million, sixty-four thousand, eight hundred ninety-six".