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30314848536 = 23337194792203
BaseRepresentation
bin11100001110111001…
…111110000100011000
32220020200201212101000
4130032321332010120
5444041100123121
621532040225000
72122141650420
oct341671760430
986220655330
1030314848536
1111946a3a435
125a6046b160
132b216915cb
1416781a5480
15bc65bc526
hex70ee7e118

30314848536 has 256 divisors, whose sum is σ = 101560320000. Its totient is φ = 8184675456.

The previous prime is 30314848523. The next prime is 30314848541. The reversal of 30314848536 is 63584841303.

30314848536 is a `hidden beast` number, since 3 + 0 + 31 + 4 + 84 + 8 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30314848491 and 30314848500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13759611 + ... + 13761813.

It is an arithmetic number, because the mean of its divisors is an integer number (396720000).

Almost surely, 230314848536 is an apocalyptic number.

30314848536 is a gapful number since it is divisible by the number (36) 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 30314848536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50780160000).

30314848536 is an abundant number, since it is smaller than the sum of its proper divisors (71245471464).

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

30314848536 is a wasteful number, since it uses less digits than its factorization.

30314848536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 30314848536 in words is "thirty billion, three hundred fourteen million, eight hundred forty-eight thousand, five hundred thirty-six".