Search a number
-
+
89134579638 = 232132336745127
BaseRepresentation
bin101001100000011010…
…1011011111110110110
322112001221102210120100
41103000311123332312
52430021423022023
6104540423214530
76303560266056
oct1230065337666
9275057383510
1089134579638
1134890167a55
1215336ba7446
138536745220
144457dc3566
1524ba3d0c43
hex14c0d5bfb6

89134579638 has 96 divisors (see below), whose sum is σ = 217619490816. Its totient is φ = 26161527744.

The previous prime is 89134579631. The next prime is 89134579649. The reversal of 89134579638 is 83697543198.

89134579638 is a `hidden beast` number, since 8 + 91 + 3 + 457 + 96 + 3 + 8 = 666.

It is a super-2 number, since 2×891345796382 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89134579631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1952631 + ... + 1997757.

It is an arithmetic number, because the mean of its divisors is an integer number (2266869696).

Almost surely, 289134579638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89134579638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108809745408).

89134579638 is an abundant number, since it is smaller than the sum of its proper divisors (128484911178).

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

89134579638 is a wasteful number, since it uses less digits than its factorization.

89134579638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45538 (or 45535 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 89134579638 in words is "eighty-nine billion, one hundred thirty-four million, five hundred seventy-nine thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 367 414 598 734 897 1101 1794 2202 2691 3303 4771 5382 6606 8441 9542 14313 16882 25323 28626 42939 45127 50646 75969 85878 90254 109733 135381 151938 219466 270762 329199 406143 586651 658398 812286 987597 1037921 1173302 1759953 1975194 2075842 3113763 3519906 5279859 6227526 9341289 10559718 13492973 16561609 18682578 26985946 33123218 40478919 49684827 80957838 99369654 121436757 149054481 215300917 242873514 298108962 380917007 430601834 645902751 761834014 1142751021 1291805502 1937708253 2285502042 3428253063 3875416506 4951921091 6856506126 9903842182 14855763273 29711526546 44567289819 89134579638