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83117710130805 = 32572918474926269
BaseRepresentation
bin10010111001100001011001…
…100101100011111001110101
3101220021222100010111111120100
4102321201121211203321311
541343300032243141210
6452435425432424313
723336025225021360
oct2271413145437165
9356258303444510
1083117710130805
1124536028549359
1293a4928b48099
13374bc7434059c
141674cc0a410d7
159921380b35c0
hex4b9859963e75

83117710130805 has 96 divisors (see below), whose sum is σ = 170422143091200. Its totient is φ = 36666567415296.

The previous prime is 83117710130803. The next prime is 83117710130809. The reversal of 83117710130805 is 50803101771138.

It is not a de Polignac number, because 83117710130805 - 21 = 83117710130803 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83117710130803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14409211 + ... + 19335479.

It is an arithmetic number, because the mean of its divisors is an integer number (1775230657200).

Almost surely, 283117710130805 is an apocalyptic number.

It is an amenable number.

83117710130805 is an abundant number, since it is smaller than the sum of its proper divisors (87304432960395).

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

83117710130805 is a wasteful number, since it uses less digits than its factorization.

83117710130805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928163 (or 4928160 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 83117710130805 in words is "eighty-three trillion, one hundred seventeen billion, seven hundred ten million, one hundred thirty thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 609 1015 1305 1827 1847 3045 5541 9135 9235 12929 16623 27705 38787 53563 64645 83115 116361 160689 193935 267815 374941 482067 581805 803445 1124823 1874705 2410335 3374469 4926269 5624115 14778807 16872345 24631345 34483883 44336421 73894035 103451649 142861801 172419415 221682105 310354947 428585403 517258245 714309005 1000032607 1285756209 1551774735 2142927015 3000097821 5000163035 6428781045 9000293463 9098818843 15000489105 27296456529 45001467315 45494094215 63691731901 81889369587 136482282645 191075195703 263865746447 318458659505 409446847935 573225587109 791597239341 955375978515 1319328732235 1847060225129 2374791718023 2866127935545 3957986196705 5541180675387 9235301125645 11873958590115 16623542026161 27705903376935 83117710130805