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8130431225 = 527311498697
BaseRepresentation
bin1111001001001110…
…01000100011111001
3202222121211200220102
413210213020203321
5113122342244400
63422435205145
7405323345060
oct74447104371
922877750812
108130431225
1134a2464354
1216aaa467b5
139c757cc67
14571b3b1d7
15328bb19d5
hex1e49c88f9

8130431225 has 24 divisors (see below), whose sum is σ = 11893667328. Its totient is φ = 5395305600.

The previous prime is 8130431209. The next prime is 8130431233. The reversal of 8130431225 is 5221340318.

It is a happy number.

It is not a de Polignac number, because 8130431225 - 24 = 8130431209 is a prime.

It is a super-2 number, since 2×81304312252 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 743924 + ... + 754773.

It is an arithmetic number, because the mean of its divisors is an integer number (495569472).

Almost surely, 28130431225 is an apocalyptic number.

It is an amenable number.

8130431225 is a deficient number, since it is larger than the sum of its proper divisors (3763236103).

8130431225 is a wasteful number, since it uses less digits than its factorization.

8130431225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498745 (or 1498740 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 8130431225 is about 90168.9038693495. The cubic root of 8130431225 is about 2010.8107275458.

The spelling of 8130431225 in words is "eight billion, one hundred thirty million, four hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 5 7 25 31 35 155 175 217 775 1085 5425 1498697 7493485 10490879 37467425 46459607 52454395 232298035 262271975 325217249 1161490175 1626086245 8130431225