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83739314833 = 17416179107233
BaseRepresentation
bin100110111111101000…
…0001000101010010001
322000010221021221121221
41031333100020222101
52332444231033313
6102245212045041
76023065301056
oct1157720105221
9260127257557
1083739314833
1132571729719
1214290163781
137b86a42445
1440a563102d
1522a18edc8d
hex137f408a91

83739314833 has 64 divisors (see below), whose sum is σ = 94763934720. Its totient is φ = 73657958400.

The previous prime is 83739314819. The next prime is 83739314843. The reversal of 83739314833 is 33841393738.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 83739314833 - 25 = 83739314801 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83739314843) 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 63 ways as a sum of consecutive naturals, for example, 359396085 + ... + 359396317.

It is an arithmetic number, because the mean of its divisors is an integer number (1480686480).

Almost surely, 283739314833 is an apocalyptic number.

It is an amenable number.

83739314833 is a deficient number, since it is larger than the sum of its proper divisors (11024619887).

83739314833 is a wasteful number, since it uses less digits than its factorization.

83739314833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538.

The product of its digits is 3919104, while the sum is 52.

The spelling of 83739314833 in words is "eighty-three billion, seven hundred thirty-nine million, three hundred fourteen thousand, eight hundred thirty-three".

Divisors: 1 17 41 61 79 107 233 697 1037 1343 1819 2501 3239 3961 4387 4819 6527 8453 9553 14213 18407 24931 42517 55063 74579 81923 110959 143701 162401 197579 241621 267607 312919 346573 423827 515633 582733 754687 1022171 1122827 1520791 1969549 3358843 4549319 5891741 8765761 9906461 12829679 17376907 19088059 21140953 25853447 33482333 46035907 62352431 80751509 120142489 359396201 782610419 1059991327 1372775653 2042422313 4925842049 83739314833