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25985898225 = 3352725121911
BaseRepresentation
bin11000001100111000…
…010101011011110001
32111002000001101221000
4120030320111123301
5411204342220400
615534315552213
71606645330140
oct301470253361
974060041830
1025985898225
11100253a8a51
12505275b669
1325b1876b51
1413872a3757
15a2151a600
hex60ce156f1

25985898225 has 96 divisors (see below), whose sum is σ = 54776494080. Its totient is φ = 11831400000.

The previous prime is 25985898223. The next prime is 25985898229. The reversal of 25985898225 is 52289858952.

25985898225 is a `hidden beast` number, since 25 + 9 + 8 + 589 + 8 + 2 + 25 = 666.

It is not a de Polignac number, because 25985898225 - 21 = 25985898223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (25985898223) 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 95 ways as a sum of consecutive naturals, for example, 1175020 + ... + 1196930.

It is an arithmetic number, because the mean of its divisors is an integer number (570588480).

Almost surely, 225985898225 is an apocalyptic number.

25985898225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25985898225 is an abundant number, since it is smaller than the sum of its proper divisors (28790595855).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25985898225 is a wasteful number, since it uses less digits than its factorization.

25985898225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22188 (or 22177 counting only the distinct ones).

The product of its digits is 41472000, while the sum is 63.

The spelling of 25985898225 in words is "twenty-five billion, nine hundred eighty-five million, eight hundred ninety-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 251 315 525 675 753 945 1255 1575 1757 2259 3765 4725 5271 6275 6777 8785 11295 15813 18825 21911 26355 33885 43925 47439 56475 65733 79065 109555 131775 153377 169425 197199 237195 328665 395325 460131 547775 591597 766885 985995 1185975 1380393 1643325 2300655 2957985 3834425 4141179 4929975 5499661 6901965 11503275 14789925 16498983 20705895 27498305 34509825 38497627 49496949 82494915 103529475 115492881 137491525 148490847 192488135 247484745 346478643 412474575 577464405 742454235 962440675 1039435929 1237423725 1732393215 2887322025 3712271175 5197179645 8661966075 25985898225