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537997311289 = 113264912
BaseRepresentation
bin1111101010000110010…
…00110111110100111001
31220102122221212010022001
413311003020313310321
532303304302430124
61051052541301001
753604034456504
oct7650310676471
91812587763261
10537997311289
111981885028a9
1288326264761
133b96b324219
141c07983613b
15dedb8c5b44
hex7d43237d39

537997311289 has 9 divisors (see below), whose sum is σ = 542884118959. Its totient is φ = 533154123040.

The previous prime is 537997311283. The next prime is 537997311317. The reversal of 537997311289 is 982113799735.

The square root of 537997311289 is 733483.

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

It can be written as a sum of positive squares in only one way, i.e., 9479943225 + 528517368064 = 97365^2 + 726992^2 .

It is not a de Polignac number, because 537997311289 - 237 = 400558357817 is a prime.

It is a super-2 number, since 2×5379973112892 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 537997311289.

It is not an unprimeable number, because it can be changed into a prime (537997311283) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 82880334 + ... + 82886824.

Almost surely, 2537997311289 is an apocalyptic number.

537997311289 is the 733483-rd square number.

537997311289 is the 366742-nd centered octagonal number.

It is an amenable number.

537997311289 is a deficient number, since it is larger than the sum of its proper divisors (4886807670).

537997311289 is an frugal number, since it uses more digits than its factorization.

537997311289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13208 (or 6604 counting only the distinct ones).

The product of its digits is 25719120, while the sum is 64.

Multiplying 537997311289 by its sum of digits (64), we get a square (34431827922496 = 58678642).

The spelling of 537997311289 in words is "five hundred thirty-seven billion, nine hundred ninety-seven million, three hundred eleven thousand, two hundred eighty-nine".

Divisors: 1 113 6491 12769 733483 42133081 82883579 4761038153 537997311289