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825130309467 = 33122383120103
BaseRepresentation
bin11000000000111011001…
…10010101011101011011
32220212210202020201210010
430000131212111131123
5102004331324400332
61431020514053003
7113420332623252
oct14003546253533
92825722221703
10825130309467
11298a326041a2
12113aba57a163
135ca6a4a9489
142bd17b4d799
15166e46549cc
hexc01d99575b

825130309467 has 24 divisors (see below), whose sum is σ = 1137294561792. Its totient is φ = 532114313040.

The previous prime is 825130309463. The next prime is 825130309559. The reversal of 825130309467 is 764903031528.

825130309467 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 825130309467 - 22 = 825130309463 is a prime.

It is a super-2 number, since 2×8251303094672 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (825130309463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6810138 + ... + 6930240.

It is an arithmetic number, because the mean of its divisors is an integer number (47387273408).

It is a 1-persistent number, because it is pandigital, but 2⋅825130309467 = 1650260618934 is not.

Almost surely, 2825130309467 is an apocalyptic number.

825130309467 is a deficient number, since it is larger than the sum of its proper divisors (312164252325).

825130309467 is a wasteful number, since it uses less digits than its factorization.

825130309467 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122551 (or 122520 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 825130309467 in words is "eight hundred twenty-five billion, one hundred thirty million, three hundred nine thousand, four hundred sixty-seven".

Divisors: 1 3 31 93 961 2383 2883 7149 73873 120103 221619 360309 2290063 3723193 6870189 11169579 115418983 286205449 346256949 858616347 8872368919 26617106757 275043436489 825130309467