Search a number
-
+
195108607521 = 3417228872
BaseRepresentation
bin1011010110110101100…
…0010001011000100001
3200122121110021012110000
42311231120101120201
511144040300420041
6225344234330213
720044654541352
oct2655530213041
9618543235400
10195108607521
11758217a4683
1231991589969
1315524b28bb9
14962c611d29
15511dd22bb6
hex2d6d611621

195108607521 has 45 divisors (see below), whose sum is σ = 309718944579. Its totient is φ = 122378682816.

The previous prime is 195108607489. The next prime is 195108607541. The reversal of 195108607521 is 125706801591.

The square root of 195108607521 is 441711.

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

195108607521 is a `hidden beast` number, since 1 + 9 + 5 + 10 + 8 + 607 + 5 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 151901165025 + 43207442496 = 389745^2 + 207864^2 .

It is not a de Polignac number, because 195108607521 - 25 = 195108607489 is a prime.

It is a super-3 number, since 3×1951086075213 (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (195108607541) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 67580340 + ... + 67583226.

Almost surely, 2195108607521 is an apocalyptic number.

195108607521 is the 441711-st square number.

195108607521 is the 220856-th centered octagonal number.

It is an amenable number.

195108607521 is a deficient number, since it is larger than the sum of its proper divisors (114610337058).

195108607521 is an frugal number, since it uses more digits than its factorization.

195108607521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 195108607521 in words is "one hundred ninety-five billion, one hundred eight million, six hundred seven thousand, five hundred twenty-one".

Divisors: 1 3 9 17 27 51 81 153 289 459 867 1377 2601 2887 7803 8661 23409 25983 49079 77949 147237 233847 441711 834343 1325133 2503029 3975399 7509087 8334769 22527261 25004307 67581783 75012921 141691073 225038763 425073219 675116289 1275219657 2408748241 3825658971 7226244723 11476976913 21678734169 65036202507 195108607521