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82420074828 = 22347132795417
BaseRepresentation
bin100110011000010011…
…1101000100101001100
321212201222220121120000
41030300213220211030
52322244014343303
6101510244124300
75645306035230
oct1146047504514
9255658817500
1082420074828
1131a54a90123
1213b82396690
137a0662bc60
143dbc3425c0
152225bacda3
hex13309e894c

82420074828 has 120 divisors (see below), whose sum is σ = 265184533152. Its totient is φ = 21737154816.

The previous prime is 82420074823. The next prime is 82420074859. The reversal of 82420074828 is 82847002428.

82420074828 is a `hidden beast` number, since 82 + 420 + 0 + 74 + 82 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (82420074823) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1368225 + ... + 1427192.

Almost surely, 282420074828 is an apocalyptic number.

It is an amenable number.

82420074828 is an abundant number, since it is smaller than the sum of its proper divisors (182764458324).

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

82420074828 is a wasteful number, since it uses less digits than its factorization.

82420074828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795453 (or 2795442 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 82420074828 in words is "eighty-two billion, four hundred twenty million, seventy-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2268 2457 3276 4212 4914 7371 9828 14742 29484 2795417 5590834 8386251 11181668 16772502 19567919 25158753 33545004 36340421 39135838 50317506 58703757 72680842 75476259 78271676 100635012 109021263 117407514 145361684 150952518 176111271 218042526 226428777 234815028 254382947 301905036 327063789 352222542 436085052 452857554 508765894 528333813 654127578 704445084 763148841 905715108 981191367 1017531788 1056667626 1308255156 1526297682 1585001439 1962382734 2113335252 2289446523 2943574101 3052595364 3170002878 3924765468 4578893046 5887148202 6340005756 6868339569 9157786092 11774296404 13736679138 20605018707 27473358276 41210037414 82420074828