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11960703225 = 32522323172
BaseRepresentation
bin10110010001110100…
…11101100011111001
31010212120011200022100
423020322131203321
5143443420000400
65254503214013
7602253204612
oct131072354371
933776150270
1011960703225
1150885613a9
122399747309
131187c860b3
1481670cc09
154a00ac100
hex2c8e9d8f9

11960703225 has 81 divisors (see below), whose sum is σ = 22465747213. Its totient is φ = 6082443840.

The previous prime is 11960703199. The next prime is 11960703259. The reversal of 11960703225 is 52230706911.

The square root of 11960703225 is 109365.

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

11960703225 is a `hidden beast` number, since 1 + 19 + 607 + 0 + 32 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4827887289 + 7132815936 = 69483^2 + 84456^2 .

It is not a de Polignac number, because 11960703225 - 25 = 11960703193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11960703225.

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 80 ways as a sum of consecutive naturals, for example, 37730767 + ... + 37731083.

Almost surely, 211960703225 is an apocalyptic number.

11960703225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11960703225 is the 109365-th square number.

11960703225 is the 54683-rd centered octagonal number.

It is an amenable number.

11960703225 is a deficient number, since it is larger than the sum of its proper divisors (10505043988).

11960703225 is an equidigital number, since it uses as much as digits as its factorization.

11960703225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Multiplying 11960703225 by its sum of digits (36), we get a square (430585316100 = 6561902).

The spelling of 11960703225 in words is "eleven billion, nine hundred sixty million, seven hundred three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 207 225 317 345 529 575 951 1035 1585 1587 1725 2645 2853 4755 4761 5175 7291 7925 7935 13225 14265 21873 23775 23805 36455 39675 65619 71325 100489 109365 119025 167693 182275 301467 328095 502445 503079 546825 838465 904401 1507335 1509237 1640475 2311247 2512225 2515395 4192325 4522005 6933741 7536675 7546185 11556235 12576975 20801223 22610025 34668705 37730925 53158681 57781175 104006115 159476043 173343525 265793405 478428129 520030575 797380215 1328967025 2392140645 3986901075 11960703225