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82583055780 = 22351972441277
BaseRepresentation
bin100110011101001010…
…1010110110110100100
321220011100120220101120
41030322111112312210
52323112230241110
6101534345253540
75652325251321
oct1147225266644
9256140526346
1082583055780
1132028a89125
1214008a942b0
137a313244a4
143dd5c49b48
152235153870
hex133a556da4

82583055780 has 48 divisors (see below), whose sum is σ = 243402694080. Its totient is φ = 20863087488.

The previous prime is 82583055769. The next prime is 82583055803. The reversal of 82583055780 is 8755038528.

It is a happy number.

It is a super-2 number, since 2×825830557802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36219499 + ... + 36221778.

It is an arithmetic number, because the mean of its divisors is an integer number (5070889460).

Almost surely, 282583055780 is an apocalyptic number.

It is an amenable number.

82583055780 is an abundant number, since it is smaller than the sum of its proper divisors (160819638300).

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

82583055780 is a wasteful number, since it uses less digits than its factorization.

82583055780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72441308 (or 72441306 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 51.

The spelling of 82583055780 in words is "eighty-two billion, five hundred eighty-three million, fifty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 72441277 144882554 217323831 289765108 362206385 434647662 724412770 869295324 1086619155 1376384263 1448825540 2173238310 2752768526 4129152789 4346476620 5505537052 6881921315 8258305578 13763842630 16516611156 20645763945 27527685260 41291527890 82583055780