Search a number
-
+
12842989915392 = 283272132739221
BaseRepresentation
bin1011101011100011110111…
…0110100000110100000000
31200110210000001022211010200
42322320331312200310000
53140404420404243032
643151553233325200
72463606156036600
oct272707566406400
950423001284120
1012842989915392
114101754a9a29a
121535083406800
1372211ccb1b00
14325865650c00
1517412044a47c
hexbae3dda0d00

12842989915392 has 972 divisors, whose sum is σ = 47287574166924. Its totient is φ = 3340400394240.

The previous prime is 12842989915297. The next prime is 12842989915417. The reversal of 12842989915392 is 29351998924821.

12842989915392 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 2 + 9 + 89 + 9 + 1 + 539 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 155601847296 + 12687388068096 = 394464^2 + 3561936^2 .

It is a super-2 number, since 2×128429899153922 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 12842989915392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1392793342 + ... + 1392802562.

Almost surely, 212842989915392 is an apocalyptic number.

12842989915392 is a gapful number since it is divisible by the number (12) 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 12842989915392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23643787083462).

12842989915392 is an abundant number, since it is smaller than the sum of its proper divisors (34444584251532).

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

12842989915392 is a wasteful number, since it uses less digits than its factorization.

12842989915392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9356 (or 9319 counting only the distinct ones).

The product of its digits is 201553920, while the sum is 72.

The spelling of 12842989915392 in words is "twelve trillion, eight hundred forty-two billion, nine hundred eighty-nine million, nine hundred fifteen thousand, three hundred ninety-two".