Search a number
-
+
93458336141346 = 2311157125920993413
BaseRepresentation
bin10101001111111111110110…
…111011010101000000100010
3110020220112022010122221122220
4111033333312323111000202
544222210133023010341
6530434100015211510
725454066456612631
oct2517776673250042
9406815263587586
1093458336141346
11278625043306a0
12a594a27816b96
13401c110c819a7
14191159c677518
15ac10ec106a66
hex54fff6ed5022

93458336141346 has 128 divisors (see below), whose sum is σ = 205528917888000. Its totient is φ = 28096339464960.

The previous prime is 93458336141227. The next prime is 93458336141399. The reversal of 93458336141346 is 64314163385439.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 93458336141346.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27383044336 + ... + 27383047748.

It is an arithmetic number, because the mean of its divisors is an integer number (1605694671000).

Almost surely, 293458336141346 is an apocalyptic number.

93458336141346 is an abundant number, since it is smaller than the sum of its proper divisors (112070581746654).

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

93458336141346 is a wasteful number, since it uses less digits than its factorization.

93458336141346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6944.

The product of its digits is 67184640, while the sum is 60.

The spelling of 93458336141346 in words is "ninety-three trillion, four hundred fifty-eight billion, three hundred thirty-six million, one hundred forty-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 157 314 471 942 1259 1727 2099 2518 3413 3454 3777 4198 5181 6297 6826 7554 10239 10362 12594 13849 20478 23089 27698 37543 41547 46178 69267 75086 83094 112629 138534 197663 225258 329543 395326 535841 592989 659086 988629 1071682 1185978 1607523 1977258 2174293 2642641 3215046 3624973 4296967 4348586 5285282 5894251 6522879 7163887 7249946 7927923 8593934 10874919 11788502 12890901 13045758 14327774 15855846 17682753 21491661 21749838 25781802 29069051 35365506 42983322 47266637 58138102 78802757 87207153 94533274 141799911 157605514 174414306 236408271 283599822 414894637 472816542 674623819 829789274 1124730259 1244683911 1349247638 2023871457 2249460518 2489367822 3374190777 4047742914 4563841007 6748381554 7420862009 9019333733 9127682014 12372032849 13691523021 14841724018 18038667466 22262586027 24744065698 27058001199 27383046042 37116098547 44525172054 54116002398 74232197094 99212671063 198425342126 297638013189 595276026378 1416035396081 2832070792162 4248106188243 8496212376486 15576389356891 31152778713782 46729168070673 93458336141346