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82420083369 = 32132389139301
BaseRepresentation
bin100110011000010011…
…1101010101010101001
321212201222221001021100
41030300213222222221
52322244020131434
6101510244232013
75645306102151
oct1146047525251
9255658831240
1082420083369
1131a54a96588
1213b8239b609
137a06632b00
143dbc345761
152225bb0699
hex13309eaaa9

82420083369 has 36 divisors (see below), whose sum is σ = 129245788620. Its totient is φ = 50589302400.

The previous prime is 82420083367. The next prime is 82420083419. The reversal of 82420083369 is 96338002428.

82420083369 is a `hidden beast` number, since 8 + 2 + 4 + 200 + 83 + 369 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5804611344 + 76615472025 = 76188^2 + 276795^2 .

It is not a de Polignac number, because 82420083369 - 21 = 82420083367 is a prime.

It is a super-2 number, since 2×824200833692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82420083367) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 522019 + ... + 661319.

It is an arithmetic number, because the mean of its divisors is an integer number (3590160795).

Almost surely, 282420083369 is an apocalyptic number.

It is an amenable number.

82420083369 is a deficient number, since it is larger than the sum of its proper divisors (46825705251).

82420083369 is a wasteful number, since it uses less digits than its factorization.

82420083369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139722 (or 139706 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 82420083369 in words is "eighty-two billion, four hundred twenty million, eighty-three thousand, three hundred sixty-nine".

Divisors: 1 3 9 13 39 117 169 389 507 1167 1521 3501 5057 15171 45513 65741 139301 197223 417903 591669 1253709 1810913 5432739 16298217 23541869 54188089 70625607 162564267 211876821 487692801 704445157 2113335471 6340006413 9157787041 27473361123 82420083369