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19497933225 = 34522921072
BaseRepresentation
bin10010001010001010…
…101101100110101001
31212022211210122010000
4102022022231212221
5304412432330400
612542432213213
71260114461241
oct221212554651
955284718100
1019497933225
1182a6090901
12394199a209
131ab967abc4
14d2d752b21
15791b45600
hex48a2ad9a9

19497933225 has 135 divisors (see below), whose sum is σ = 37758117397. Its totient is φ = 9946480320.

The previous prime is 19497933163. The next prime is 19497933229. The reversal of 19497933225 is 52233979491.

The square root of 19497933225 is 139635.

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

19497933225 is a `hidden beast` number, since 19 + 497 + 93 + 32 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 268009641 + 19229923584 = 16371^2 + 138672^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 19497933225 - 219 = 19497408937 is a prime.

It is a Duffinian number.

Its product of digits (3674160) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (19497933229) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 182223622 + ... + 182223728.

Almost surely, 219497933225 is an apocalyptic number.

19497933225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19497933225 is the 139635-th square number.

19497933225 is the 69818-th centered octagonal number.

It is an amenable number.

19497933225 is a deficient number, since it is larger than the sum of its proper divisors (18260184172).

19497933225 is an equidigital number, since it uses as much as digits as its factorization.

19497933225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 144 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The spelling of 19497933225 in words is "nineteen billion, four hundred ninety-seven million, nine hundred thirty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 87 107 135 145 225 261 321 405 435 535 675 725 783 841 963 1305 1605 2025 2175 2349 2523 2675 2889 3103 3915 4205 4815 6525 7569 8025 8667 9309 11449 11745 12615 14445 15515 19575 21025 22707 24075 27927 34347 37845 43335 46545 57245 58725 63075 68121 72225 77575 83781 89987 103041 113535 139635 171735 189225 216675 232725 251343 269961 286225 309123 332021 340605 418905 449935 515205 567675 698175 809883 858675 927369 996063 1256715 1349805 1545615 1660105 1703025 2094525 2249675 2429649 2576025 2988189 4049415 4636845 4980315 6283575 6749025 7288947 7728075 8300525 8964567 9628609 12148245 14940945 20247075 23184225 24901575 26893701 28885827 36444735 44822835 48143045 60741225 74704725 86657481 134468505 144429135 182223675 224114175 240715225 259972443 433287405 672342525 722145675 779917329 1299862215 2166437025 3899586645 6499311075 19497933225