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81600242424335 = 5172236719365419
BaseRepresentation
bin10010100011011100001001…
…011101101001101000001111
3101200220220111012021221021022
4102203130021131221220033
541143414244030034320
6445314344525224355
723121265035235025
oct2243341135515017
9350826435257238
1081600242424335
1124000517597618
12919a8101020bb
13366bb400776bb
141621689548715
15967922457325
hex4a3709769a0f

81600242424335 has 48 divisors (see below), whose sum is σ = 108558155059200. Its totient is φ = 58759962776064.

The previous prime is 81600242424299. The next prime is 81600242424347. The reversal of 81600242424335 is 53342424200618.

It is not a de Polignac number, because 81600242424335 - 210 = 81600242423311 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223123256 + ... + 223488674.

It is an arithmetic number, because the mean of its divisors is an integer number (2261628230400).

Almost surely, 281600242424335 is an apocalyptic number.

81600242424335 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

81600242424335 is a deficient number, since it is larger than the sum of its proper divisors (26957912634865).

81600242424335 is a wasteful number, since it uses less digits than its factorization.

81600242424335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372200 (or 372183 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 44.

The spelling of 81600242424335 in words is "eighty-one trillion, six hundred billion, two hundred forty-two million, four hundred twenty-four thousand, three hundred thirty-five".

Divisors: 1 5 17 23 85 115 289 391 1445 1955 6647 6719 33235 33595 114223 154537 365419 571115 772685 1827095 1941791 2627129 6212123 8404637 9708955 13135645 31060615 42023185 44661193 105606091 142878829 223305965 528030455 714394145 2428940093 2455250261 12144700465 12276251305 41739254437 56470756003 208696272185 282353780015 709567325429 960002852051 3547836627145 4800014260255 16320048484867 81600242424335