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30076387425 = 345272417393
BaseRepresentation
bin11100000000101100…
…010100000001100001
32212122002000210020000
4130000230110001201
5443044023344200
621452241210213
72113215034500
oct340054240141
985562023200
1030076387425
1111834378037
1259b4630969
132ab415c066
141654650837
15bb06b7300
hex700b14061

30076387425 has 180 divisors, whose sum is σ = 66397336236. Its totient is φ = 13412044800.

The previous prime is 30076387423. The next prime is 30076387447. The reversal of 30076387425 is 52478367003.

30076387425 is a `hidden beast` number, since 3 + 0 + 0 + 7 + 638 + 7 + 4 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9858106944 + 20218280481 = 99288^2 + 142191^2 .

It is not a de Polignac number, because 30076387425 - 21 = 30076387423 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30076387423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 4064529 + ... + 4071921.

Almost surely, 230076387425 is an apocalyptic number.

30076387425 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30076387425 is an abundant number, since it is smaller than the sum of its proper divisors (36320948811).

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

30076387425 is a wasteful number, since it uses less digits than its factorization.

30076387425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7470 (or 7449 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 30076387425 in words is "thirty billion, seventy-six million, three hundred eighty-seven thousand, four hundred twenty-five".