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2143256544 = 2533112131983
BaseRepresentation
bin111111110111111…
…0111111111100000
312112100220201021000
41333233313333200
513342133202134
6552401232000
7104053244232
oct17757677740
95470821230
102143256544
119aa8a3400
124b9932600
13282054a50
1416490a252
15c825de99
hex7fbf7fe0

2143256544 has 576 divisors, whose sum is σ = 7882963200. Its totient is φ = 561116160.

The previous prime is 2143256539. The next prime is 2143256569. The reversal of 2143256544 is 4456523412.

2143256544 is a `hidden beast` number, since 21 + 4 + 32 + 565 + 44 = 666.

It is a super-2 number, since 2×21432565442 = 9187097226797647872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2143256499 and 2143256508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25822327 + ... + 25822409.

It is an arithmetic number, because the mean of its divisors is an integer number (13685700).

Almost surely, 22143256544 is an apocalyptic number.

2143256544 is a gapful number since it is divisible by the number (24) 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 2143256544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941481600).

2143256544 is an abundant number, since it is smaller than the sum of its proper divisors (5739706656).

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

2143256544 is a wasteful number, since it uses less digits than its factorization.

2143256544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 2143256544 is about 46295.3188130290. The cubic root of 2143256544 is about 1289.3120831936.

Adding to 2143256544 its reverse (4456523412), we get a palindrome (6599779956).

The spelling of 2143256544 in words is "two billion, one hundred forty-three million, two hundred fifty-six thousand, five hundred forty-four".