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709683250329 = 364127612
BaseRepresentation
bin10100101001111000110…
…10110000010010011001
32111211211001020111000000
422110330122300102121
543111412403002304
61302005103003213
7102162420045024
oct12247432602231
92454731214000
10709683250329
11253a7a769a19
12b565b599509
1351bcc643771
14264c53741bb
15136d9248939
hexa53c6b0499

709683250329 has 63 divisors (see below), whose sum is σ = 1092058281037. Its totient is φ = 460976054400.

The previous prime is 709683250321. The next prime is 709683250343. The reversal of 709683250329 is 923052386907.

It is a happy number.

The square root of 709683250329 is 842427.

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

709683250329 is a `hidden beast` number, since 7 + 0 + 9 + 68 + 3 + 250 + 329 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 658245010329 + 51438240000 = 811323^2 + 226800^2 .

It is not a de Polignac number, because 709683250329 - 23 = 709683250321 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (709683250321) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 932566309 + ... + 932567069.

Almost surely, 2709683250329 is an apocalyptic number.

709683250329 is the 842427-th square number.

709683250329 is the 421214-th centered octagonal number.

It is an amenable number.

709683250329 is a deficient number, since it is larger than the sum of its proper divisors (382375030708).

709683250329 is an frugal number, since it uses more digits than its factorization.

709683250329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 709683250329 in words is "seven hundred nine billion, six hundred eighty-three million, two hundred fifty thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 41 81 123 243 369 729 761 1107 1681 2283 3321 5043 6849 9963 15129 20547 29889 31201 45387 61641 93603 136161 184923 280809 408483 554769 579121 842427 1225449 1279241 1737363 2527281 3837723 5212089 7581843 11513169 15636267 22745529 23743961 34539507 46908801 71231883 103618521 140726403 213695649 310855563 422179209 641086947 932566689 973502401 1923260841 2920507203 5769782523 8761521609 17309347569 26284564827 78853694481 236561083443 709683250329