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85077827713 = 2937238133301
BaseRepresentation
bin100111100111100001…
…0001010000010000001
322010121012221110010001
41033033002022002001
52343214410441323
6103030105040001
76101210414014
oct1171702120201
9263535843101
1085077827713
113309924120a
12145a4486001
13803b1430b8
1441912d937b
15232e19a3ad
hex13cf08a081

85077827713 has 16 divisors (see below), whose sum is σ = 90430914960. Its totient is φ = 79888032000.

The previous prime is 85077827711. The next prime is 85077827741. The reversal of 85077827713 is 31772877058.

It can be written as a sum of positive squares in 8 ways, for example, as 229128769 + 84848698944 = 15137^2 + 291288^2 .

It is not a de Polignac number, because 85077827713 - 21 = 85077827711 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85077827711) 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, 2538163 + ... + 2571463.

It is an arithmetic number, because the mean of its divisors is an integer number (5651932185).

Almost surely, 285077827713 is an apocalyptic number.

It is an amenable number.

85077827713 is a deficient number, since it is larger than the sum of its proper divisors (5353087247).

85077827713 is a wasteful number, since it uses less digits than its factorization.

85077827713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35748.

The product of its (nonzero) digits is 4609920, while the sum is 55.

The spelling of 85077827713 in words is "eighty-five billion, seventy-seven million, eight hundred twenty-seven thousand, seven hundred thirteen".

Divisors: 1 29 37 1073 2381 33301 69049 88097 965729 1232137 2554813 35731973 79289681 2299400749 2933718197 85077827713