Search a number
-
+
12800797395584 = 2711414316013221
BaseRepresentation
bin1011101001000110101011…
…1110110100101010000000
31200022202002120122201212212
42322101222332310222000
53134212013113124314
643120334413241252
72460553456403012
oct272215276645200
950282076581785
1012800797395584
114095873460710
121528a69193228
1371b157919863
143237c1bd21b2
15172ea1222e3e
hexba46afb4a80

12800797395584 has 256 divisors, whose sum is σ = 29188477422720. Its totient is φ = 5539430400000.

The previous prime is 12800797395563. The next prime is 12800797395587. The reversal of 12800797395584 is 48559379700821.

It is not an unprimeable number, because it can be changed into a prime (12800797395587) 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, 3974167094 + ... + 3974170314.

Almost surely, 212800797395584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12800797395584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14594238711360).

12800797395584 is an abundant number, since it is smaller than the sum of its proper divisors (16387680027136).

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

12800797395584 is a wasteful number, since it uses less digits than its factorization.

12800797395584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4931 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 68.

The spelling of 12800797395584 in words is "twelve trillion, eight hundred billion, seven hundred ninety-seven million, three hundred ninety-five thousand, five hundred eighty-four".