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420534051333102 = 232753433714519957
BaseRepresentation
bin101111110011110010011011…
…0101111101110001111101110
32001010222122220002112021122100
41133213210312233232033232
5420110012214120124402
64050222402014355530
7154402403552255340
oct13747446657561756
92033878802467570
10420534051333102
11111aa454274a733
123b1ba396abbba6
131508626349a165
1475bbd5720b290
1533940c823671c
hex17e7936bee3ee

420534051333102 has 96 divisors (see below), whose sum is σ = 1061214710841792. Its totient is φ = 117858366692352.

The previous prime is 420534051333083. The next prime is 420534051333119. The reversal of 420534051333102 is 201333150435024.

420534051333102 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 3 + 4 + 0 + 513 + 33 + 102 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21702508 + ... + 36222464.

It is an arithmetic number, because the mean of its divisors is an integer number (11054319904602).

Almost surely, 2420534051333102 is an apocalyptic number.

420534051333102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 420534051333102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530607355420896).

420534051333102 is an abundant number, since it is smaller than the sum of its proper divisors (640680659508690).

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

420534051333102 is a wasteful number, since it uses less digits than its factorization.

420534051333102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14524362 (or 14524359 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 420534051333102 in words is "four hundred twenty trillion, five hundred thirty-four billion, fifty-one million, three hundred thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 742 954 1113 2226 3339 4337 6678 8674 13011 26022 30359 39033 60718 78066 91077 182154 229861 273231 459722 546462 689583 1379166 1609027 2068749 3218054 4137498 4827081 9654162 14481243 14519957 28962486 29039914 43559871 87119742 101639699 130679613 203279398 261359226 304919097 609838194 769557721 914757291 1539115442 1829514582 2308673163 4617346326 5386904047 6926019489 10773808094 13852038978 16160712141 32321424282 48482136423 62973053509 96964272846 125946107018 188919160527 377838321054 440811374563 566757481581 881622749126 1133514963162 1322434123689 2644868247378 3337571835977 3967302371067 6675143671954 7934604742134 10012715507931 20025431015862 23363002851839 30038146523793 46726005703678 60076293047586 70089008555517 140178017111034 210267025666551 420534051333102