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131448565248 = 293711131747107
BaseRepresentation
bin111101001101011110…
…0011110111000000000
3110120021212122222120120
41322122330132320000
54123201313041443
6140215302540240
712332263240440
oct1723274367000
9416255588516
10131448565248
11508243196a0
1221585a37680
13c51b028630
14650da20120
1536450ed083
hex1e9af1ee00

131448565248 has 1280 divisors, whose sum is σ = 513183154176. Its totient is φ = 28759818240.

The previous prime is 131448565229. The next prime is 131448565249. The reversal of 131448565248 is 842565844131.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 131448565248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131448565249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1228491211 + ... + 1228491317.

Almost surely, 2131448565248 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 131448565248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256591577088).

131448565248 is an abundant number, since it is smaller than the sum of its proper divisors (381734588928).

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

131448565248 is a wasteful number, since it uses less digits than its factorization.

131448565248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 207 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 51.

It can be divided in two parts, 131448 and 565248, that added together give a palindrome (696696).

The spelling of 131448565248 in words is "one hundred thirty-one billion, four hundred forty-eight million, five hundred sixty-five thousand, two hundred forty-eight".