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34425429165 = 33517312292113
BaseRepresentation
bin100000000011111010…
…100101110010101101
310021212011111222221000
4200003322211302231
51031000402213130
623452000230513
72326044214461
oct400372456255
9107764458830
1034425429165
1113666291506
12680900b439
13332818c73a
1419480a24a1
15d673d7260
hex803ea5cad

34425429165 has 128 divisors (see below), whose sum is σ = 67215052800. Its totient is φ = 16641884160.

The previous prime is 34425429161. The next prime is 34425429173. The reversal of 34425429165 is 56192452443.

34425429165 is a `hidden beast` number, since 3 + 4 + 42 + 542 + 9 + 1 + 65 = 666.

It is not a de Polignac number, because 34425429165 - 22 = 34425429161 is a prime.

It is a super-2 number, since 2×344254291652 (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34425429165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34425429161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16291149 + ... + 16293261.

It is an arithmetic number, because the mean of its divisors is an integer number (525117600).

Almost surely, 234425429165 is an apocalyptic number.

It is an amenable number.

34425429165 is a deficient number, since it is larger than the sum of its proper divisors (32789623635).

34425429165 is a wasteful number, since it uses less digits than its factorization.

34425429165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2398 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 34425429165 in words is "thirty-four billion, four hundred twenty-five million, four hundred twenty-nine thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 17 27 31 45 51 85 93 135 153 155 229 255 279 459 465 527 687 765 837 1145 1395 1581 2061 2113 2295 2635 3435 3893 4185 4743 6183 6339 7099 7905 10305 10565 11679 14229 19017 19465 21297 23715 30915 31695 35037 35495 35921 57051 58395 63891 65503 71145 95085 105111 106485 107763 120683 175185 179605 191673 196509 285255 319455 323289 327515 362049 483877 525555 538815 589527 603415 958365 969867 982545 1086147 1113551 1451631 1616445 1768581 1810245 2419385 2947635 3258441 3340653 4354893 4849335 5430735 5567755 7258155 8225909 8842905 10021959 13064679 15000187 16292205 16703265 21774465 24677727 30065877 41129545 45000561 50109795 65323395 74033181 75000935 123388635 135001683 150329385 222099543 225002805 255003179 370165905 405005049 675008415 765009537 1110497715 1275015895 2025025245 2295028611 3825047685 6885085833 11475143055 34425429165