Search a number
-
+
2143329436512 = 2532111959603529
BaseRepresentation
bin11111001100001000011…
…000111100001101100000
321120220022022110121222200
4133030020120330031200
5240104014313432022
64320344300133200
7310564462420245
oct37141030741540
97526268417880
102143329436512
11756a87654950
122a7484837200
13127165b44034
1475a4835b5cc
153ab46168bac
hex1f30863c360

2143329436512 has 288 divisors, whose sum is σ = 7117791408000. Its totient is φ = 604879902720.

The previous prime is 2143329436511. The next prime is 2143329436513. The reversal of 2143329436512 is 2156349233412.

2143329436512 is a `hidden beast` number, since 2 + 1 + 43 + 3 + 2 + 94 + 3 + 6 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (2143329436511) and next prime (2143329436513).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×21433294365122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143329436511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3249564 + ... + 3853092.

It is an arithmetic number, because the mean of its divisors is an integer number (24714553500).

Almost surely, 22143329436512 is an apocalyptic number.

2143329436512 is a gapful number since it is divisible by the number (22) 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 2143329436512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558895704000).

2143329436512 is an abundant number, since it is smaller than the sum of its proper divisors (4974461971488).

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

2143329436512 is a wasteful number, since it uses less digits than its factorization.

2143329436512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603634 (or 603623 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 2143329436512 in words is "two trillion, one hundred forty-three billion, three hundred twenty-nine million, four hundred thirty-six thousand, five hundred twelve".