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80983499777 = 1761973372389
BaseRepresentation
bin100101101101011111…
…1100010010000000001
321202000212202001001122
41023122333202100001
52311323233443102
6101111525242025
75564563250615
oct1133277422001
9252025661048
1080983499777
1131388090014
1213841263315
137837b1584b
143cc362d345
15218e9e10a2
hex12dafe2401

80983499777 has 32 divisors (see below), whose sum is σ = 88349657760. Its totient is φ = 73946234880.

The previous prime is 80983499749. The next prime is 80983499809. The reversal of 80983499777 is 77799438908.

It is a Cunningham number, because it is equal to 2845762+1.

It can be written as a sum of positive squares in 16 ways, for example, as 44618535361 + 36364964416 = 211231^2 + 190696^2 .

It is a cyclic number.

It is not a de Polignac number, because 80983499777 - 210 = 80983498753 is a prime.

It is a super-2 number, since 2×809834997772 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 80983499777.

It is not an unprimeable number, because it can be changed into a prime (80983499477) 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, 33897299 + ... + 33899687.

It is an arithmetic number, because the mean of its divisors is an integer number (2760926805).

Almost surely, 280983499777 is an apocalyptic number.

It is an amenable number.

80983499777 is a deficient number, since it is larger than the sum of its proper divisors (7366157983).

80983499777 is a wasteful number, since it uses less digits than its factorization.

80983499777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901.

The product of its (nonzero) digits is 192036096, while the sum is 71.

The spelling of 80983499777 in words is "eighty billion, nine hundred eighty-three million, four hundred ninety-nine thousand, seven hundred seventy-seven".

Divisors: 1 17 61 97 337 1037 1649 2389 5729 5917 20557 32689 40613 100589 145729 231733 349469 555713 805093 1994029 2477393 3939461 13686581 14135713 33898493 49110673 78094021 240307121 834881441 1327598357 4763735281 80983499777