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29386420965 = 325111917318061
BaseRepresentation
bin11011010111100100…
…010011001011100101
32210211222201212011200
4123113210103023211
5440140410432330
621255552553113
72060136312456
oct332744231345
983758655150
1029386420965
111150a961020
125841552799
132a04223895
1415cab6912d
15b6ed27a60
hex6d79132e5

29386420965 has 96 divisors (see below), whose sum is σ = 58832991360. Its totient is φ = 13419302400.

The previous prime is 29386420919. The next prime is 29386420991. The reversal of 29386420965 is 56902468392.

It is a happy number.

It is not a de Polignac number, because 29386420965 - 26 = 29386420901 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1618035 + ... + 1636095.

It is an arithmetic number, because the mean of its divisors is an integer number (612843660).

Almost surely, 229386420965 is an apocalyptic number.

It is an amenable number.

29386420965 is an abundant number, since it is smaller than the sum of its proper divisors (29446570395).

29386420965 is a wasteful number, since it uses less digits than its factorization.

29386420965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18275 (or 18272 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 29386420965 in words is "twenty-nine billion, three hundred eighty-six million, four hundred twenty thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 11 15 19 33 45 55 57 95 99 165 171 173 209 285 495 519 627 855 865 1045 1557 1881 1903 2595 3135 3287 5709 7785 9405 9515 9861 16435 17127 18061 28545 29583 36157 49305 54183 85635 90305 108471 147915 162549 180785 198671 270915 325413 343159 542355 596013 812745 993355 1029477 1627065 1715795 1788039 2980065 3088431 3124553 3774749 5147385 8940195 9373659 11324247 15442155 15622765 18873745 28120977 33972741 34370083 46868295 56621235 59366507 103110249 140604885 169863705 171850415 178099521 296832535 309330747 515551245 534298563 653031577 890497605 1546653735 1959094731 2671492815 3265157885 5877284193 9795473655 29386420965