Search a number
-
+
189499149225 = 3252290212
BaseRepresentation
bin1011000001111100000…
…1111000101110101001
3200010010112002012021100
42300133001320232221
511101043240233400
6223015452232013
716455652122501
oct2603701705651
9603115065240
10189499149225
1173403369631
1230886a6b609
1314b3c93c5c9
149259624a01
154de1631100
hex2c1f078ba9

189499149225 has 27 divisors (see below), whose sum is σ = 339425727589. Its totient is φ = 101062730400.

The previous prime is 189499149197. The next prime is 189499149239. The reversal of 189499149225 is 522941994981.

The square root of 189499149225 is 435315.

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

189499149225 is a `hidden beast` number, since 1 + 89 + 49 + 9 + 1 + 492 + 25 = 666.

189499149225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 45852085161 + 143647064064 = 214131^2 + 379008^2 .

It is not a de Polignac number, because 189499149225 - 25 = 189499149193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6515215 + ... + 6544235.

Almost surely, 2189499149225 is an apocalyptic number.

189499149225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

189499149225 is the 435315-th square number.

189499149225 is the 217658-th centered octagonal number.

It is an amenable number.

189499149225 is a deficient number, since it is larger than the sum of its proper divisors (149926578364).

189499149225 is an frugal number, since it uses more digits than its factorization.

189499149225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58058 (or 29029 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 63.

It can be divided in two parts, 189499 and 149225, that added together give a square (338724 = 5822).

The spelling of 189499149225 in words is "one hundred eighty-nine billion, four hundred ninety-nine million, one hundred forty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 29021 87063 145105 261189 435315 725525 1305945 2176575 6529725 842218441 2526655323 4211092205 7579965969 12633276615 21055461025 37899829845 63166383075 189499149225