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538188033769 = 2924126172
BaseRepresentation
bin1111101010011101000…
…00011010111011101001
31220110011020201211100121
413311032200122323221
532304202114040034
61051123513203241
753611541543641
oct7651640327351
91813136654317
10538188033769
11198276129491
128837a100521
133b99b9b0769
141c096cc1521
15deed4eb1b4
hex7d4e81aee9

538188033769 has 27 divisors (see below), whose sum is σ = 572239998031. Its totient is φ = 506134280960.

The previous prime is 538188033739. The next prime is 538188033781. The reversal of 538188033769 is 967330881835.

The square root of 538188033769 is 733613.

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

It can be written as a sum of positive squares in 13 ways, for example, as 468287019225 + 69901014544 = 684315^2 + 264388^2 .

It is not a de Polignac number, because 538188033769 - 25 = 538188033737 is a prime.

It is a super-2 number, since 2×5381880337692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (538188033709) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 872265549 + ... + 872266165.

Almost surely, 2538188033769 is an apocalyptic number.

538188033769 is the 733613-rd square number.

538188033769 is the 366807-th centered octagonal number.

It is an amenable number.

538188033769 is a deficient number, since it is larger than the sum of its proper divisors (34051964262).

538188033769 is an frugal number, since it uses more digits than its factorization.

538188033769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 61.

The spelling of 538188033769 in words is "five hundred thirty-eight billion, one hundred eighty-eight million, thirty-three thousand, seven hundred sixty-nine".

Divisors: 1 29 41 617 841 1189 1681 17893 25297 34481 48749 380689 518897 733613 1037177 1413721 11039981 15608249 21274777 30078133 320159449 452639221 639938209 872265857 13126537409 18558208061 538188033769