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18283449087225 = 32527219322112
BaseRepresentation
bin1000010100000111100100…
…11111001111010011111001
32101201212210000002012101100
410022003302133033103321
54344024000431242400
6102515144530442013
73564635625013200
oct412036237172371
971655700065340
1018283449087225
115909a703a7843
122073556133309
13a2817792526a
14472cd0732237
1521a8db4ed100
hex10a0f27cf4f9

18283449087225 has 243 divisors, whose sum is σ = 38474994343149. Its totient is φ = 8275434854400.

The previous prime is 18283449087191. The next prime is 18283449087259. The reversal of 18283449087225 is 52278094438281.

The square root of 18283449087225 is 4275915.

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

18283449087225 is a `hidden beast` number, since 1 + 8 + 28 + 34 + 490 + 8 + 72 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (18283449087191) and next prime (18283449087259).

It can be written as a sum of positive squares in 4 ways, for example, as 2940528751209 + 15342920336016 = 1714797^2 + 3917004^2 .

It is not a de Polignac number, because 18283449087225 - 27 = 18283449087097 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 86651417370 + ... + 86651417580.

Almost surely, 218283449087225 is an apocalyptic number.

18283449087225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18283449087225 is the 4275915-th square number.

18283449087225 is the 2137958-th centered octagonal number.

It is an amenable number.

18283449087225 is an abundant number, since it is smaller than the sum of its proper divisors (20191545255924).

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

18283449087225 is an equidigital number, since it uses as much as digits as its factorization.

18283449087225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 18283449087225 in words is "eighteen trillion, two hundred eighty-three billion, four hundred forty-nine million, eighty-seven thousand, two hundred twenty-five".