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639171468324 = 223219270132
BaseRepresentation
bin10010100110100011001…
…01101001110000100100
32021002210221212211012100
421103101211221300210
540433010343441244
61205344210452100
764115156560404
oct11232145516044
92232727784170
10639171468324
112270866a3514
12a3a61294030
134837317a32c
1422d167ba804
151195dc43b69
hex94d1969c24

639171468324 has 81 divisors (see below), whose sum is σ = 1705438163793. Its totient is φ = 201814840224.

The previous prime is 639171468319. The next prime is 639171468359. The reversal of 639171468324 is 423864171936.

The square root of 639171468324 is 799482.

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

639171468324 is a `hidden beast` number, since 6 + 3 + 9 + 171 + 468 + 3 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 538154288100 + 101017180224 = 733590^2 + 317832^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 91137442 + ... + 91144454.

Almost surely, 2639171468324 is an apocalyptic number.

639171468324 is the 799482-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 639171468324

639171468324 is an abundant number, since it is smaller than the sum of its proper divisors (1066266695469).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

639171468324 is an equidigital number, since it uses as much as digits as its factorization.

639171468324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14074 (or 7037 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 639171468324 in words is "six hundred thirty-nine billion, one hundred seventy-one million, four hundred sixty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 4332 6498 7013 12996 14026 21039 28052 42078 63117 84156 126234 133247 252468 266494 399741 532988 799482 1199223 1598964 2398446 2531693 4796892 5063386 7595079 10126772 15190158 22785237 30380316 45570474 49182169 91140948 98364338 147546507 196728676 295093014 442639521 590186028 885279042 934461211 1770558084 1868922422 2803383633 3737844844 5606767266 8410150899 11213534532 16820301798 17754763009 33640603596 35509526018 53264289027 71019052036 106528578054 159792867081 213057156108 319585734162 639171468324