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43998689934 = 23237835571429
BaseRepresentation
bin101000111110100001…
…101011101010001110
311012120100022000212200
4220332201223222032
51210102131034214
632113540342330
73115220456643
oct507641535216
9135510260780
1043998689934
1117729127a71
12863b0a49a6
1341c2635894
1421b569ddca
151227a9dd09
hexa3e86ba8e

43998689934 has 96 divisors (see below), whose sum is σ = 99333954720. Its totient is φ = 14062761216.

The previous prime is 43998689909. The next prime is 43998689951.

43998689934 is a `hidden beast` number, since 439 + 9 + 86 + 89 + 9 + 34 = 666.

43998689934 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×439986899343 (a number of 33 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 30789132 + ... + 30790560.

It is an arithmetic number, because the mean of its divisors is an integer number (1034728695).

Almost surely, 243998689934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43998689934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49666977360).

43998689934 is an abundant number, since it is smaller than the sum of its proper divisors (55335264786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

43998689934 is a wasteful number, since it uses less digits than its factorization.

43998689934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2111 counting only the distinct ones).

The product of its digits is 362797056, while the sum is 72.

The spelling of 43998689934 in words is "forty-three billion, nine hundred ninety-eight million, six hundred eighty-nine thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 74 83 111 166 222 249 333 498 557 666 747 1114 1429 1494 1671 2858 3071 3342 4287 5013 6142 8574 9213 10026 12861 18426 20609 25722 27639 41218 46231 52873 55278 61827 92462 105746 118607 123654 138693 158619 185481 237214 277386 317238 355821 370962 416079 475857 711642 795953 832158 951714 1067463 1591906 1710547 2134926 2387859 3421094 4388459 4775718 5131641 7163577 8776918 10263282 13165377 14327154 15394923 26330754 29450261 30789846 39496131 58900522 66064099 78992262 88350783 132128198 176701566 198192297 265052349 396384594 530104698 594576891 1189153782 2444371663 4888743326 7333114989 14666229978 21999344967 43998689934