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89914146744 = 233234719317957
BaseRepresentation
bin101001110111101001…
…1001111111110111000
322121002021022220121010
41103233103033332320
52433121010143434
6105150032113520
76332104431342
oct1235723177670
9277067286533
1089914146744
1135150212294
12155140958a0
13862c0c2936
1444cd750292
152513a6d9e9
hex14ef4cffb8

89914146744 has 128 divisors (see below), whose sum is σ = 240803850240. Its totient is φ = 27911380992.

The previous prime is 89914146691. The next prime is 89914146863. The reversal of 89914146744 is 44764141998.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4998214 + ... + 5016170.

It is an arithmetic number, because the mean of its divisors is an integer number (1881280080).

Almost surely, 289914146744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89914146744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120401925120).

89914146744 is an abundant number, since it is smaller than the sum of its proper divisors (150889703496).

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

89914146744 is a wasteful number, since it uses less digits than its factorization.

89914146744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18229 (or 18225 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The spelling of 89914146744 in words is "eighty-nine billion, nine hundred fourteen million, one hundred forty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 47 69 92 94 138 141 184 188 193 276 282 376 386 552 564 579 772 1081 1128 1158 1544 2162 2316 3243 4324 4439 4632 6486 8648 8878 9071 12972 13317 17756 17957 18142 25944 26634 27213 35512 35914 36284 53268 53871 54426 71828 72568 106536 107742 108852 143656 208633 215484 217704 413011 417266 430968 625899 826022 834532 843979 1239033 1251798 1652044 1669064 1687958 2478066 2503596 2531937 3304088 3375916 3465701 4956132 5007192 5063874 6751832 6931402 9912264 10127748 10397103 13862804 19411517 20255496 20794206 27725608 38823034 41588412 58234551 77646068 79711123 83176824 116469102 155292136 159422246 162887947 232938204 239133369 318844492 325775894 465876408 478266738 488663841 637688984 651551788 956533476 977327682 1303103576 1913066952 1954655364 3746422781 3909310728 7492845562 11239268343 14985691124 22478536686 29971382248 44957073372 89914146744