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2645100660114 = 232112732349653
BaseRepresentation
bin100110011111011100010…
…010010000010110010010
3100100212110121112211020100
4212133130102100112102
5321314131232110424
65343050434553230
7362050026433053
oct46373422202622
910325417484210
102645100660114
1192a865401900
1236877aa38816
1316257cc17ac3
14920488c672a
1548c1251ddc9
hex267dc490592

2645100660114 has 216 divisors, whose sum is σ = 6415005132900. Its totient is φ = 787093148160.

The previous prime is 2645100660113. The next prime is 2645100660151. The reversal of 2645100660114 is 4110660015462.

2645100660114 is a `hidden beast` number, since 2 + 6 + 45 + 1 + 0 + 0 + 6 + 601 + 1 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1450899748089 + 1194200912025 = 1204533^2 + 1092795^2 .

It is not an unprimeable number, because it can be changed into a prime (2645100660113) 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 107 ways as a sum of consecutive naturals, for example, 4050689812 + ... + 4050690464.

Almost surely, 22645100660114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2645100660114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207502566450).

2645100660114 is an abundant number, since it is smaller than the sum of its proper divisors (3769904472786).

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

2645100660114 is a wasteful number, since it uses less digits than its factorization.

2645100660114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 2645100660114 its reverse (4110660015462), we get a palindrome (6755760675576).

The spelling of 2645100660114 in words is "two trillion, six hundred forty-five billion, one hundred million, six hundred sixty thousand, one hundred fourteen".