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5336142705705 = 357210370486001
BaseRepresentation
bin100110110100110101011…
…1000111111010000101001
3200220010111221220211122010
41031221222320333100221
51144411410013040310
615203220133150133
71060344406421400
oct115515270772051
920803457824563
105336142705705
111778055498579
1272221b48b349
132c9271a9a766
141463b0a8c637
1593c12e30320
hex4da6ae3f429

5336142705705 has 48 divisors (see below), whose sum is σ = 10028184476544. Its totient is φ = 2415696192000.

The previous prime is 5336142705701. The next prime is 5336142705787. The reversal of 5336142705705 is 5075072416335.

It is not a de Polignac number, because 5336142705705 - 22 = 5336142705701 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5336142705701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35167296 + ... + 35318705.

It is an arithmetic number, because the mean of its divisors is an integer number (208920509928).

Almost surely, 25336142705705 is an apocalyptic number.

It is an amenable number.

5336142705705 is a deficient number, since it is larger than the sum of its proper divisors (4692041770839).

5336142705705 is a wasteful number, since it uses less digits than its factorization.

5336142705705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70486126 (or 70486119 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 48.

The spelling of 5336142705705 in words is "five trillion, three hundred thirty-six billion, one hundred forty-two million, seven hundred five thousand, seven hundred five".

Divisors: 1 3 5 7 15 21 35 49 103 105 147 245 309 515 721 735 1545 2163 3605 5047 10815 15141 25235 75705 70486001 211458003 352430005 493402007 1057290015 1480206021 2467010035 3453814049 7260058103 7401030105 10361442147 17269070245 21780174309 36300290515 50820406721 51807210735 108900871545 152461220163 254102033605 355742847047 762306100815 1067228541141 1778714235235 5336142705705