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5742642609 = 3311372631987
BaseRepresentation
bin1010101100100100…
…11100010110110001
3112211012210110201000
411112102130112301
543230104030414
62345500432213
7262210441164
oct52622342661
915735713630
105742642609
112487632430
121143248669
1370697b5a2
143c6979adb
1523924db09
hex15649c5b1

5742642609 has 64 divisors (see below), whose sum is σ = 9572935680. Its totient is φ = 3371751360.

The previous prime is 5742642589. The next prime is 5742642617. The reversal of 5742642609 is 9062462475.

It is not a de Polignac number, because 5742642609 - 216 = 5742577073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5742642649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2889114 + ... + 2891100.

It is an arithmetic number, because the mean of its divisors is an integer number (149577120).

Almost surely, 25742642609 is an apocalyptic number.

It is an amenable number.

5742642609 is a deficient number, since it is larger than the sum of its proper divisors (3830293071).

5742642609 is a wasteful number, since it uses less digits than its factorization.

5742642609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5742642609 is about 75780.2257122529. The cubic root of 5742642609 is about 1790.7594967860.

The spelling of 5742642609 in words is "five billion, seven hundred forty-two million, six hundred forty-two thousand, six hundred nine".

Divisors: 1 3 9 11 27 33 37 99 111 263 297 333 407 789 999 1221 1987 2367 2893 3663 5961 7101 8679 9731 10989 17883 21857 26037 29193 53649 65571 73519 78111 87579 107041 196713 220557 262737 321123 522581 590139 661671 808709 963369 1567743 1985013 2426127 2890107 4703229 5748391 7278381 14109687 17245173 19335497 21835143 51735519 58006491 155206557 174019473 212690467 522058419 638071401 1914214203 5742642609