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84780706833 = 346179721529
BaseRepresentation
bin100111011110101010…
…0101110110000010001
322002211111212010220000
41032331110232300101
52342112330104313
6102540412440213
76060642055254
oct1167524566021
9262744763800
1084780706833
1132a56553969
1214520a79069
137cc1712924
144163a7509b
152313059673
hex13bd52ec11

84780706833 has 40 divisors (see below), whose sum is σ = 128891411880. Its totient is φ = 55521573120.

The previous prime is 84780706831. The next prime is 84780706853. The reversal of 84780706833 is 33860708748.

It can be written as a sum of positive squares in 4 ways, for example, as 859251969 + 83921454864 = 29313^2 + 289692^2 .

It is not a de Polignac number, because 84780706833 - 21 = 84780706831 is a prime.

It is a super-2 number, since 2×847807068332 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84780706833.

It is not an unprimeable number, because it can be changed into a prime (84780706831) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3927213 + ... + 3948741.

It is an arithmetic number, because the mean of its divisors is an integer number (3222285297).

Almost surely, 284780706833 is an apocalyptic number.

It is an amenable number.

84780706833 is a deficient number, since it is larger than the sum of its proper divisors (44110705047).

84780706833 is a wasteful number, since it uses less digits than its factorization.

84780706833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22399 (or 22390 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 84780706833 in words is "eighty-four billion, seven hundred eighty million, seven hundred six thousand, eight hundred thirty-three".

Divisors: 1 3 9 27 61 81 183 549 797 1647 2391 4941 7173 21519 21529 48617 64557 64587 145851 193761 437553 581283 1312659 1313269 1743849 3937977 3939807 11819421 17158613 35458263 51475839 106374789 154427517 463282551 1046675393 1389847653 3140026179 9420078537 28260235611 84780706833