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30256478208 = 21135115527
BaseRepresentation
bin11100001011011011…
…010011100000000000
32220002121220100100000
4130023123103200000
5443431124300313
621522153200000
72120532551505
oct341333234000
986077810300
1030256478208
1111916aa19a0
125a44a00000
132b12565358
14167052d4ac
15bc13dc673
hex70b6d3800

30256478208 has 288 divisors, whose sum is σ = 98879114880. Its totient is φ = 9166970880.

The previous prime is 30256478207. The next prime is 30256478227. The reversal of 30256478208 is 80287465203.

30256478208 is a `hidden beast` number, since 3 + 0 + 2 + 564 + 7 + 82 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30256478201) 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, 5471541 + ... + 5477067.

It is an arithmetic number, because the mean of its divisors is an integer number (343330260).

Almost surely, 230256478208 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 30256478208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49439557440).

30256478208 is an abundant number, since it is smaller than the sum of its proper divisors (68622636672).

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

30256478208 is an equidigital number, since it uses as much as digits as its factorization.

30256478208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5575 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 30256478208 in words is "thirty billion, two hundred fifty-six million, four hundred seventy-eight thousand, two hundred eight".