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30696327648 = 253571967443
BaseRepresentation
bin11100100101101001…
…001100100111100000
32221020021120000100000
4130211221030213200
51000331224441043
622033544500000
72134453323420
oct344551144740
987207500300
1030696327648
1112022305328
125b4817a600
132b82719aac
1416b2b08480
15be9d232d3
hex725a4c9e0

30696327648 has 576 divisors, whose sum is σ = 110778071040. Its totient is φ = 8166292992.

The previous prime is 30696327637. The next prime is 30696327677. The reversal of 30696327648 is 84672369603.

30696327648 is a `hidden beast` number, since 306 + 9 + 6 + 327 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 30696327594 and 30696327603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69291715 + ... + 69292157.

It is an arithmetic number, because the mean of its divisors is an integer number (192323040).

Almost surely, 230696327648 is an apocalyptic number.

30696327648 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 30696327648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55389035520).

30696327648 is an abundant number, since it is smaller than the sum of its proper divisors (80081743392).

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

30696327648 is a wasteful number, since it uses less digits than its factorization.

30696327648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 30696327648 in words is "thirty billion, six hundred ninety-six million, three hundred twenty-seven thousand, six hundred forty-eight".