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30684257604 = 2232711131515639
BaseRepresentation
bin11100100100111011…
…001001110101000100
32221012102211210100100
4130210323021311010
51000320132220404
622032434044100
72134245612660
oct344473116504
987172753310
1030684257604
1112016510990
125b44119630
132b80081c60
1416b12858a0
15be8c3bd39
hex724ec9d44

30684257604 has 288 divisors, whose sum is σ = 104848773120. Its totient is φ = 7306848000.

The previous prime is 30684257599. The next prime is 30684257629. The reversal of 30684257604 is 40675248603.

30684257604 is a `hidden beast` number, since 30 + 6 + 8 + 4 + 2 + 5 + 7 + 604 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 30684257604.

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 95 ways as a sum of consecutive naturals, for example, 5438617 + ... + 5444255.

It is an arithmetic number, because the mean of its divisors is an integer number (364058240).

Almost surely, 230684257604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30684257604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52424386560).

30684257604 is an abundant number, since it is smaller than the sum of its proper divisors (74164515516).

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

30684257604 is a wasteful number, since it uses less digits than its factorization.

30684257604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5831 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

Subtracting 30684257604 from its reverse (40675248603), we obtain a palindrome (9990990999).

The spelling of 30684257604 in words is "thirty billion, six hundred eighty-four million, two hundred fifty-seven thousand, six hundred four".