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52904140081 = 13413612
BaseRepresentation
bin110001010001010101…
…010001110100110001
312001112222110202212121
4301101111101310301
51331321424440311
640145343154241
73552004525312
oct612125216461
9161488422777
1052904140081
112048900a521
12a3055a5981
134cb1630000
1427bc302609
151599800b71
hexc51551d31

52904140081 has 15 divisors (see below), whose sum is σ = 57354805703. Its totient is φ = 48798709440.

The previous prime is 52904140057. The next prime is 52904140099. The reversal of 52904140081 is 18004140925.

It is a happy number.

The square root of 52904140081 is 230009.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 46465682481 + 6438457600 = 215559^2 + 80240^2 .

It is not a de Polignac number, because 52904140081 - 25 = 52904140049 is a prime.

It is a super-2 number, since 2×529041400812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52904140481) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 38870841 + ... + 38872201.

Almost surely, 252904140081 is an apocalyptic number.

52904140081 is the 230009-th square number.

52904140081 is the 115005-th centered octagonal number.

It is an amenable number.

52904140081 is a deficient number, since it is larger than the sum of its proper divisors (4450665622).

52904140081 is an frugal number, since it uses more digits than its factorization.

52904140081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 52904140081 in words is "fifty-two billion, nine hundred four million, one hundred forty thousand, eighty-one".

Divisors: 1 13 169 1361 2197 17693 28561 230009 1852321 2990117 24080173 38871521 313042249 4069549237 52904140081