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19952410009 = 7217211872
BaseRepresentation
bin10010100101010000…
…011001110110011001
31220111111222110001111
4102211100121312121
5311330304110014
613055505220321
71304303454400
oct224520316631
956444873044
1019952410009
118509684a54
123a4a0316a1
131b5c88448c
14d73c58637
157bb9ba2c4
hex4a5419d99

19952410009 has 27 divisors (see below), whose sum is σ = 24676337343. Its totient is φ = 16082501568.

The previous prime is 19952410007. The next prime is 19952410063. The reversal of 19952410009 is 90001425991.

The square root of 19952410009 is 141253.

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

It can be written as a sum of positive squares in only one way, i.e., 15533883225 + 4418526784 = 124635^2 + 66472^2 .

It is not a de Polignac number, because 19952410009 - 21 = 19952410007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19952410007) 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, 16808514 + ... + 16809700.

Almost surely, 219952410009 is an apocalyptic number.

19952410009 is the 141253-rd square number.

19952410009 is the 70627-th centered octagonal number.

It is an amenable number.

19952410009 is a deficient number, since it is larger than the sum of its proper divisors (4723927334).

19952410009 is an frugal number, since it uses more digits than its factorization.

19952410009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 40.

The spelling of 19952410009 in words is "nineteen billion, nine hundred fifty-two million, four hundred ten thousand, nine".

Divisors: 1 7 17 49 119 289 833 1187 2023 8309 14161 20179 58163 141253 343043 988771 1408969 2401301 9862783 16809107 23952473 69039481 167667311 407192041 1173671177 2850344287 19952410009