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34065424665 = 3359717914533
BaseRepresentation
bin11111101110011101…
…010010000100011001
310020221002002212121000
4133232131102010121
51024231222042130
623352140135213
72314113221616
oct375635220431
9106832085530
1034065424665
11134a1053828
126728537509
13329b71291c
14191234d50d
15d459c4260
hex7ee752119

34065424665 has 64 divisors (see below), whose sum is σ = 61531142400. Its totient is φ = 17879242752.

The previous prime is 34065424607. The next prime is 34065424667. The reversal of 34065424665 is 56642456043.

It is a happy number.

34065424665 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 542 + 46 + 65 = 666.

It is not a de Polignac number, because 34065424665 - 28 = 34065424409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 34065424665.

It is not an unprimeable number, because it can be changed into a prime (34065424667) 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 63 ways as a sum of consecutive naturals, for example, 2336739 + ... + 2351271.

It is an arithmetic number, because the mean of its divisors is an integer number (961424100).

Almost surely, 234065424665 is an apocalyptic number.

It is an amenable number.

34065424665 is a deficient number, since it is larger than the sum of its proper divisors (27465717735).

34065424665 is a wasteful number, since it uses less digits than its factorization.

34065424665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14823 (or 14817 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 34065424665 in words is "thirty-four billion, sixty-five million, four hundred twenty-four thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 97 135 179 291 485 537 873 895 1455 1611 2619 2685 4365 4833 8055 13095 14533 17363 24165 43599 52089 72665 86815 130797 156267 217995 260445 392391 468801 653985 781335 1409701 1961955 2344005 2601407 4229103 7048505 7804221 12687309 13007035 21145515 23412663 38061927 39021105 63436545 70237989 117063315 190309635 252336479 351189945 757009437 1261682395 2271028311 3785047185 6813084933 11355141555 34065424665