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34616861643 = 37131723324301
BaseRepresentation
bin100000001111010100…
…110110001111001011
310022100111201202220210
4200033110312033023
51031343404033033
623522555252203
72333560316610
oct401724661713
9108314652823
1034616861643
1113754352571
12686114a063
133358a371b0
141965694507
15d790ecd63
hex80f5363cb

34616861643 has 64 divisors (see below), whose sum is σ = 62764111872. Its totient is φ = 16438118400.

The previous prime is 34616861639. The next prime is 34616861681.

34616861643 is nontrivially palindromic in base 10.

34616861643 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34616861643 - 22 = 34616861639 is a prime.

It is a super-2 number, since 2×346168616432 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34616861592 and 34616861601.

It is not an unprimeable number, because it can be changed into a prime (34616861623) 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, 55408 + ... + 268893.

It is an arithmetic number, because the mean of its divisors is an integer number (980689248).

Almost surely, 234616861643 is an apocalyptic number.

34616861643 is a deficient number, since it is larger than the sum of its proper divisors (28147250229).

34616861643 is a wasteful number, since it uses less digits than its factorization.

34616861643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324364.

The product of its digits is 1492992, while the sum is 48.

The spelling of 34616861643 in words is "thirty-four billion, six hundred sixteen million, eight hundred sixty-one thousand, six hundred forty-three".

Divisors: 1 3 7 13 17 21 23 39 51 69 91 119 161 221 273 299 357 391 483 663 897 1173 1547 2093 2737 4641 5083 6279 8211 15249 35581 106743 324301 972903 2270107 4215913 5513117 6810321 7458923 12647739 16539351 22376769 29511391 38591819 52212461 71670521 88534173 96965999 115775457 126801691 156637383 215011563 290897997 380405073 501693647 678761993 887611837 1505080941 1648421983 2036285979 2662835511 4945265949 11538953881 34616861643