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30275448768 = 2632192995393
BaseRepresentation
bin11100001100100011…
…101010111111000000
32220010221121011001100
4130030203222333000
5444001003330033
621524111534400
72121153032325
oct341443527700
986127534040
1030275448768
1111926779844
125a4b22a400
132b16478036
141672c6ab4c
15bc2dd8513
hex70c8eafc0

30275448768 has 168 divisors, whose sum is σ = 94497296400. Its totient is φ = 9230893056.

The previous prime is 30275448751. The next prime is 30275448793. The reversal of 30275448768 is 86784457203.

30275448768 is a `hidden beast` number, since 3 + 0 + 27 + 544 + 8 + 76 + 8 = 666.

It is a congruent number.

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, 269680 + ... + 365072.

Almost surely, 230275448768 is an apocalyptic number.

30275448768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30275448768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47248648200).

30275448768 is an abundant number, since it is smaller than the sum of its proper divisors (64221847632).

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

30275448768 is a wasteful number, since it uses less digits than its factorization.

30275448768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95459 (or 95446 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 30275448768 in words is "thirty billion, two hundred seventy-five million, four hundred forty-eight thousand, seven hundred sixty-eight".