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1346282826432 = 263313747130069
BaseRepresentation
bin10011100101110100101…
…101011010101011000000
311202200222202122122022220
4103211310231122223000
5134024141400421212
62510250201131040
7166160100132405
oct23456455325300
94680882578286
101346282826432
11479a56615775
12198b03489a80
1399c52a0c77b
14492363482ac
15250472b038c
hex13974b5aac0

1346282826432 has 224 divisors, whose sum is σ = 3856698286080. Its totient is φ = 413553807360.

The previous prime is 1346282826391. The next prime is 1346282826451. The reversal of 1346282826432 is 2346282826431.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10285494 + ... + 10415562.

Almost surely, 21346282826432 is an apocalyptic number.

1346282826432 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 1346282826432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928349143040).

1346282826432 is an abundant number, since it is smaller than the sum of its proper divisors (2510415459648).

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

1346282826432 is a wasteful number, since it uses less digits than its factorization.

1346282826432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130199 (or 130189 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 51.

Subtracting 1346282826432 from its reverse (2346282826431), we obtain a palindrome (999999999999).

The spelling of 1346282826432 in words is "one trillion, three hundred forty-six billion, two hundred eighty-two million, eight hundred twenty-six thousand, four hundred thirty-two".