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65078087056 = 2417415835553
BaseRepresentation
bin111100100110111101…
…001100110110010000
320012222101220100121121
4330212331030312100
52031234442241211
645521345132024
74462460420143
oct744675146620
9205871810547
1065078087056
112566597a024
121074262a014
1361a1829528
14321508005a
151a5d481271
hexf26f4cd90

65078087056 has 40 divisors (see below), whose sum is σ = 136762043544. Its totient is φ = 29878026240.

The previous prime is 65078087051. The next prime is 65078087089.

65078087056 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 10240000 + 65067847056 = 3200^2 + 255084^2 .

It is a junction number, because it is equal to n+sod(n) for n = 65078086994 and 65078087012.

It is not an unprimeable number, because it can be changed into a prime (65078087051) 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 7 ways as a sum of consecutive naturals, for example, 2906625 + ... + 2928928.

Almost surely, 265078087056 is an apocalyptic number.

It is an amenable number.

65078087056 is an abundant number, since it is smaller than the sum of its proper divisors (71683956488).

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

65078087056 is a wasteful number, since it uses less digits than its factorization.

65078087056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5835619 (or 5835613 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 52.

The spelling of 65078087056 in words is "sixty-five billion, seventy-eight million, eighty-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1394 2788 5576 11152 5835553 11671106 23342212 46684424 93368848 99204401 198408802 239257673 396817604 478515346 793635208 957030692 1587270416 1914061384 3828122768 4067380441 8134760882 16269521764 32539043528 65078087056