Search a number
-
+
192102507025 = 521121326132
BaseRepresentation
bin1011001011101000110…
…0111010001000010001
3200100211221202110210121
42302322030322020101
511121411220211100
6224130051230241
716610323240102
oct2627214721021
9610757673717
10192102507025
1174519947900
12312928a8381
13151660b9a00
14942529c3a9
154ee4e7651a
hex2cba33a211

192102507025 has 81 divisors (see below), whose sum is σ = 283984360947. Its totient is φ = 128753539200.

The previous prime is 192102507017. The next prime is 192102507029. The reversal of 192102507025 is 520705201291.

The square root of 192102507025 is 438295.

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

It can be written as a sum of positive squares in 13 ways, for example, as 151863751809 + 40238755216 = 389697^2 + 200596^2 .

It is not a de Polignac number, because 192102507025 - 23 = 192102507017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (192102507029) 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 80 ways as a sum of consecutive naturals, for example, 313380619 + ... + 313381231.

Almost surely, 2192102507025 is an apocalyptic number.

192102507025 is the 438295-th square number.

192102507025 is the 219148-th centered octagonal number.

It is an amenable number.

192102507025 is a deficient number, since it is larger than the sum of its proper divisors (91881853922).

192102507025 is an equidigital number, since it uses as much as digits as its factorization.

192102507025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The spelling of 192102507025 in words is "one hundred ninety-two billion, one hundred two million, five hundred seven thousand, twenty-five".

Divisors: 1 5 11 13 25 55 65 121 143 169 275 325 605 613 715 845 1573 1859 3025 3065 3575 4225 6743 7865 7969 9295 15325 20449 33715 39325 39845 46475 74173 87659 102245 103597 168575 199225 370865 375769 438295 511225 517985 964249 1139567 1854325 1878845 2191475 2589925 4133459 4821245 4884997 5697835 9394225 12535237 20667295 24106225 24424985 28489175 45468049 53734967 62676185 63504961 103336475 122124925 227340245 268674835 313380925 317524805 591084637 698554571 1136701225 1343374175 1587624025 2955423185 3492772855 7684100281 14777115925 17463864275 38420501405 192102507025