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43682228634 = 23112295473793
BaseRepresentation
bin101000101011101010…
…011110100110011010
311011202021211010120210
4220223222132212122
51203430122304014
632022313431550
73104325550152
oct505352364632
9134667733523
1043682228634
111758652aa00
12857110b5b6
134171bc3285
142185643762
151209ddc859
hexa2ba9e99a

43682228634 has 96 divisors (see below), whose sum is σ = 99547882560. Its totient is φ = 12753861120.

The previous prime is 43682228599. The next prime is 43682228693.

It is a happy number.

43682228634 is nontrivially palindromic in base 10.

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, 11514642 + ... + 11518434.

It is an arithmetic number, because the mean of its divisors is an integer number (1036957110).

Almost surely, 243682228634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43682228634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49773941280).

43682228634 is an abundant number, since it is smaller than the sum of its proper divisors (55865653926).

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

43682228634 is a wasteful number, since it uses less digits than its factorization.

43682228634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396 (or 4385 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The spelling of 43682228634 in words is "forty-three billion, six hundred eighty-two million, two hundred twenty-eight thousand, six hundred thirty-four".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 121 174 242 319 363 547 638 726 957 1094 1641 1914 3282 3509 3793 6017 7018 7586 10527 11379 12034 15863 18051 21054 22758 31726 36102 41723 47589 66187 83446 95178 109997 125169 132374 174493 198561 219994 250338 329991 348986 397122 458953 523479 659982 917906 1046958 1209967 1376859 1919423 2074771 2419934 2753718 3629901 3838846 4149542 5758269 6224313 7259802 11516538 12448626 13309637 22822481 26619274 39928911 45644962 60168359 68467443 79857822 120336718 136934886 180505077 251047291 361010154 502094582 661851949 753141873 1323703898 1506283746 1985555847 3971111694 7280371439 14560742878 21841114317 43682228634