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82771488245420 = 225131719985609529
BaseRepresentation
bin10010110100011110111101…
…001001111000011010101100
3101212001212200022221102010022
4102310132331021320122230
541322112001442323140
6452012410300101312
723302020432401462
oct2264367511703254
9355055608842108
1082771488245420
11244122112a2487
129349803b34838
133725419415a50
141662238c84832
15988122aa60b5
hex4b47bd2786ac

82771488245420 has 96 divisors (see below), whose sum is σ = 208633825310400. Its totient is φ = 27250132230144.

The previous prime is 82771488245371. The next prime is 82771488245441. The reversal of 82771488245420 is 2454288417728.

It is a happy number.

It is a super-2 number, since 2×827714882454202 (a number of 29 digits) contains 22 as substring.

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, 492720785 + ... + 492888744.

It is an arithmetic number, because the mean of its divisors is an integer number (2173269013650).

Almost surely, 282771488245420 is an apocalyptic number.

It is an amenable number.

82771488245420 is an abundant number, since it is smaller than the sum of its proper divisors (125862337064980).

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

82771488245420 is a wasteful number, since it uses less digits than its factorization.

82771488245420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985609587 (or 985609585 counting only the distinct ones).

The product of its (nonzero) digits is 64225280, while the sum is 62.

The spelling of 82771488245420 in words is "eighty-two trillion, seven hundred seventy-one billion, four hundred eighty-eight million, two hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 19 20 26 34 38 52 65 68 76 85 95 130 170 190 221 247 260 323 340 380 442 494 646 884 988 1105 1235 1292 1615 2210 2470 3230 4199 4420 4940 6460 8398 16796 20995 41990 83980 985609529 1971219058 3942438116 4928047645 9856095290 12812923877 16755361993 18726581051 19712190580 25625847754 33510723986 37453162102 51251695508 64064619385 67021447972 74906324204 83776809965 93632905255 128129238770 167553619930 187265810510 217819705909 243445553663 256258477540 318351877867 335107239860 374531621020 435639411818 486891107326 636703755734 871278823636 973782214652 1089098529545 1217227768315 1273407511468 1591759389335 2178197059090 2434455536630 3183518778670 4138574412271 4356394118180 4868911073260 6367037557340 8277148824542 16554297649084 20692872061355 41385744122710 82771488245420