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80416042497 = 32717313976101
BaseRepresentation
bin100101011100100101…
…0110110111000000001
321200120022222020000100
41022321022312320001
52304143001324442
6100535334513013
75544533040330
oct1127112667001
9250508866010
1080416042497
1131116839a5a
1213703205769
1377773a23cb
143c6c117d17
152159ca084c
hex12b92b6e01

80416042497 has 96 divisors (see below), whose sum is σ = 145482614784. Its totient is φ = 41741568000.

The previous prime is 80416042477. The next prime is 80416042501. The reversal of 80416042497 is 79424061408.

80416042497 is a `hidden beast` number, since 80 + 4 + 1 + 60 + 424 + 97 = 666.

It is not a de Polignac number, because 80416042497 - 224 = 80399265281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (80416042477) 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 95 ways as a sum of consecutive naturals, for example, 13177747 + ... + 13183847.

It is an arithmetic number, because the mean of its divisors is an integer number (1515443904).

Almost surely, 280416042497 is an apocalyptic number.

It is an amenable number.

80416042497 is a deficient number, since it is larger than the sum of its proper divisors (65066572287).

80416042497 is a wasteful number, since it uses less digits than its factorization.

80416042497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6559 (or 6556 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 80416042497 in words is "eighty billion, four hundred sixteen million, forty-two thousand, four hundred ninety-seven".

Divisors: 1 3 7 9 17 21 31 51 63 93 119 153 217 279 357 397 527 651 1071 1191 1581 1953 2779 3573 3689 4743 6101 6749 8337 11067 12307 18303 20247 25011 33201 36921 42707 47243 54909 60741 86149 103717 110763 128121 141729 189131 209219 258447 311151 384363 425187 567393 627657 726019 775341 933453 1323917 1464533 1702179 1882971 2178057 2422097 3215227 3971751 4393599 6534171 7266291 9645681 11915253 13180797 16954679 21798873 22506589 28937043 41175649 50864037 67519767 75085007 123526947 152592111 202559301 225255021 288229543 370580841 525595049 675765063 864688629 1276445119 1576785147 2594065887 3829335357 4730355441 8935115833 11488006071 26805347499 80416042497