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232382981376 = 2834721373241
BaseRepresentation
bin1101100001101100011…
…0101110010100000000
3211012211011120120210000
43120123012232110000
512301410020401001
6254431045440000
722534444515300
oct3303306562400
9735734516700
10232382981376
118a60a153427
1239054710000
1318bb52c1810
14b366bd9600
1560a13b1a86
hex361b1ae500

232382981376 has 1080 divisors, whose sum is σ = 883601099304. Its totient is φ = 60197437440.

The previous prime is 232382981371. The next prime is 232382981377. The reversal of 232382981376 is 673189283232.

232382981376 is a `hidden beast` number, since 232 + 38 + 2 + 9 + 8 + 1 + 376 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29364249600 + 203018731776 = 171360^2 + 450576^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232382981371) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 964244616 + ... + 964244856.

Almost surely, 2232382981376 is an apocalyptic number.

232382981376 is a gapful number since it is divisible by the number (26) 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 232382981376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441800549652).

232382981376 is an abundant number, since it is smaller than the sum of its proper divisors (651218117928).

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

232382981376 is a wasteful number, since it uses less digits than its factorization.

232382981376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 339 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 232382981376 in words is "two hundred thirty-two billion, three hundred eighty-two million, nine hundred eighty-one thousand, three hundred seventy-six".