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83790462228 = 223116477971231
BaseRepresentation
bin100111000001001001…
…1001111110100010100
322000021111112111122220
41032002103033310110
52333100324242403
6102254240222340
76024256114614
oct1160223176424
9260244474586
1083790462228
11325985934a0
12142a530a9b0
137b9450cb85
1440ac346a44
1522a6153953
hex13824cfd14

83790462228 has 96 divisors (see below), whose sum is σ = 214056235008. Its totient is φ = 25299427200.

The previous prime is 83790462191. The next prime is 83790462229. The reversal of 83790462228 is 82226409738.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83790462229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68066373 + ... + 68067603.

It is an arithmetic number, because the mean of its divisors is an integer number (2229752448).

Almost surely, 283790462228 is an apocalyptic number.

It is an amenable number.

83790462228 is an abundant number, since it is smaller than the sum of its proper divisors (130265772780).

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

83790462228 is a wasteful number, since it uses less digits than its factorization.

83790462228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 83790462228 in words is "eighty-three billion, seven hundred ninety million, four hundred sixty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 647 797 1231 1294 1594 1941 2391 2462 2588 3188 3693 3882 4782 4924 7117 7386 7764 8767 9564 13541 14234 14772 17534 21351 26301 27082 28468 35068 40623 42702 52602 54164 81246 85404 105204 162492 515659 796457 981107 1031318 1546977 1592914 1962214 2062636 2389371 2943321 3093954 3185828 3924428 4778742 5672249 5886642 6187908 8761027 9557484 10792177 11344498 11773284 17016747 17522054 21584354 22688996 26283081 32376531 34033494 35044108 43168708 52566162 64753062 68066988 105132324 129506124 634776229 1269552458 1904328687 2539104916 3808657374 6982538519 7617314748 13965077038 20947615557 27930154076 41895231114 83790462228