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5209519329 = 32744912
BaseRepresentation
bin1001101101000001…
…01111010011100001
3111110001122000001100
410312200233103201
541132114104304
62220534025013
7243045120000
oct46640572341
914401560040
105209519329
112233701a83
1210147a8169
13650399a21
14375c40c37
15207541439
hex13682f4e1

5209519329 has 45 divisors (see below), whose sum is σ = 8796397649. Its totient is φ = 2970805320.

The previous prime is 5209519309. The next prime is 5209519331. The reversal of 5209519329 is 9239159025.

The square root of 5209519329 is 72177.

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

5209519329 is a `hidden beast` number, since 520 + 95 + 1 + 9 + 32 + 9 = 666.

It is not a de Polignac number, because 5209519329 - 29 = 5209518817 is a prime.

It is a super-2 number, since 2×52095193292 = 54278183278449220482, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (5209519309) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10609774 + ... + 10610264.

Almost surely, 25209519329 is an apocalyptic number.

5209519329 is the 72177-th square number.

5209519329 is the 36089-th centered octagonal number.

It is an amenable number.

5209519329 is a deficient number, since it is larger than the sum of its proper divisors (3586878320).

5209519329 is an frugal number, since it uses more digits than its factorization.

5209519329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The cubic root of 5209519329 is about 1733.5347476458.

The spelling of 5209519329 in words is "five billion, two hundred nine million, five hundred nineteen thousand, three hundred twenty-nine".

Divisors: 1 3 7 9 21 49 63 147 343 441 491 1029 1473 2401 3087 3437 4419 7203 10311 21609 24059 30933 72177 168413 216531 241081 505239 723243 1178891 1515717 1687567 2169729 3536673 5062701 10610019 11812969 15188103 35438907 82690783 106316721 248072349 578835481 744217047 1736506443 5209519329