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86025347525 = 521337572069
BaseRepresentation
bin101000000011110000…
…0101010000111000101
322020001020212102221102
41100013200222013011
52402134442110100
6103304113425445
76133534250315
oct1200740520705
9266036772842
1086025347525
113353507a937
121480986b285
13815c537000
1442410a5445
152387461cd5
hex140782a1c5

86025347525 has 48 divisors (see below), whose sum is σ = 115765246800. Its totient is φ = 63411828480.

The previous prime is 86025347461. The next prime is 86025347533. The reversal of 86025347525 is 52574352068.

It can be written as a sum of positive squares in 24 ways, for example, as 68736779329 + 17288568196 = 262177^2 + 131486^2 .

It is not a de Polignac number, because 86025347525 - 26 = 86025347461 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 86025347525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41577191 + ... + 41579259.

It is an arithmetic number, because the mean of its divisors is an integer number (2411775975).

Almost surely, 286025347525 is an apocalyptic number.

It is an amenable number.

86025347525 is a deficient number, since it is larger than the sum of its proper divisors (29739899275).

86025347525 is a wasteful number, since it uses less digits than its factorization.

86025347525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 47.

The spelling of 86025347525 in words is "eighty-six billion, twenty-five million, three hundred forty-seven thousand, five hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 757 845 2069 2197 3785 4225 9841 10345 10985 18925 26897 49205 51725 54925 127933 134485 246025 349661 639665 672425 1566233 1663129 1748305 3198325 4545593 7831165 8315645 8741525 20361029 22727965 39155825 41578225 101805145 113639825 264693377 509025725 1323466885 3441013901 6617334425 17205069505 86025347525