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85648261521 = 3611134141799
BaseRepresentation
bin100111111000100001…
…0001100000110010001
322012001222022111012010
41033301002030012101
52400401423332041
6103202443253133
76121305132234
oct1176102140621
9265058274163
1085648261521
1133361235609
121472351a1a9
1380cc3892b4
144206d8741b
1523642c7a16
hex13f108c191

85648261521 has 16 divisors (see below), whose sum is σ = 117096969600. Its totient is φ = 55665765120.

The previous prime is 85648261463. The next prime is 85648261529. The reversal of 85648261521 is 12516284658.

It is not a de Polignac number, because 85648261521 - 213 = 85648253329 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85648261529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2050221 + ... + 2091578.

It is an arithmetic number, because the mean of its divisors is an integer number (7318560600).

Almost surely, 285648261521 is an apocalyptic number.

It is an amenable number.

85648261521 is a deficient number, since it is larger than the sum of its proper divisors (31448708079).

85648261521 is a wasteful number, since it uses less digits than its factorization.

85648261521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141976.

The product of its digits is 921600, while the sum is 48.

The spelling of 85648261521 in words is "eighty-five billion, six hundred forty-eight million, two hundred sixty-one thousand, five hundred twenty-one".

Divisors: 1 3 61 113 183 339 6893 20679 4141799 12425397 252649739 468023287 757949217 1404069861 28549420507 85648261521