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609372268129 = 1724729772
BaseRepresentation
bin10001101111000010110…
…10101110011001100001
32011020220012102121101001
420313201122232121201
534440443300040004
61143535230312001
762011545546622
oct10674132563141
92136805377331
10609372268129
11215484839339
129a125658601
134560458c5b1
14216cacc1a49
1510cb7a811a4
hex8de16ae661

609372268129 has 27 divisors (see below), whose sum is σ = 662069844793. Its totient is φ = 560749603328.

The previous prime is 609372268123. The next prime is 609372268187. The reversal of 609372268129 is 921862273906.

The square root of 609372268129 is 780623.

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

609372268129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 328302642529 + 281069625600 = 572977^2 + 530160^2 .

It is not a de Polignac number, because 609372268129 - 229 = 608835397217 is a prime.

It is a super-2 number, since 2×6093722681292 (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 609372268129.

It is not an unprimeable number, because it can be changed into a prime (609372268123) 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, 623717289 + ... + 623718265.

Almost surely, 2609372268129 is an apocalyptic number.

609372268129 is the 780623-rd square number.

609372268129 is the 390312-nd centered octagonal number.

It is an amenable number.

609372268129 is a deficient number, since it is larger than the sum of its proper divisors (52697576664).

609372268129 is an frugal number, since it uses more digits than its factorization.

609372268129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 609372268129 in words is "six hundred nine billion, three hundred seventy-two million, two hundred sixty-eight thousand, one hundred twenty-nine".

Divisors: 1 17 47 289 799 977 2209 13583 16609 37553 45919 282353 638401 780623 954529 2158193 13270591 16226993 36689281 44862863 275858881 623717777 762668671 2108554561 12965367407 35845427537 609372268129