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34662400426643 = 1117636592911771
BaseRepresentation
bin1111110000110011110000…
…00100001000001010010011
311112201200201021122121222012
413320121320010020022103
514020402044002123033
6201415404213133135
710205163411206423
oct770317004101223
9145650637577865
1034662400426643
1110054272437350
123a7997b92a1ab
13164585ba2a252
1487b952154483
154019ade62248
hex1f8678108293

34662400426643 has 16 divisors (see below), whose sum is σ = 40038495592320. Its totient is φ = 29657192745600.

The previous prime is 34662400426639. The next prime is 34662400426649.

34662400426643 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34662400426643 - 22 = 34662400426639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34662400426591 and 34662400426600.

It is not an unprimeable number, because it can be changed into a prime (34662400426649) 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 15 ways as a sum of consecutive naturals, for example, 10448348 + ... + 13360118.

It is an arithmetic number, because the mean of its divisors is an integer number (2502405974520).

Almost surely, 234662400426643 is an apocalyptic number.

34662400426643 is a deficient number, since it is larger than the sum of its proper divisors (5376095165677).

34662400426643 is a wasteful number, since it uses less digits than its factorization.

34662400426643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975458.

The product of its (nonzero) digits is 11943936, while the sum is 50.

The spelling of 34662400426643 in words is "thirty-four trillion, six hundred sixty-two billion, four hundred million, four hundred twenty-six thousand, six hundred forty-three".

Divisors: 1 11 17 187 63659 700249 1082203 2911771 11904233 32029481 49500107 544501177 185360430089 2038964730979 3151127311513 34662400426643