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30926484864 = 27321121731421
BaseRepresentation
bin11100110011010111…
…001011010110000000
32221211022122012200100
4130303113023112000
51001314140003424
622112445522400
72143246532622
oct346327132600
987738565610
1030926484864
1112130215900
125bb1273400
132bbb3027b2
1416d54dac12
15c10137dc9
hex7335cb580

30926484864 has 576 divisors, whose sum is σ = 107169229440. Its totient is φ = 8515584000.

The previous prime is 30926484791. The next prime is 30926484907. The reversal of 30926484864 is 46848462903.

30926484864 is a `hidden beast` number, since 30 + 92 + 6 + 48 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 30926484864.

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 71 ways as a sum of consecutive naturals, for example, 73459374 + ... + 73459794.

It is an arithmetic number, because the mean of its divisors is an integer number (186057690).

Almost surely, 230926484864 is an apocalyptic number.

30926484864 is a gapful number since it is divisible by the number (34) 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 30926484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53584614720).

30926484864 is an abundant number, since it is smaller than the sum of its proper divisors (76242744576).

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

30926484864 is a wasteful number, since it uses less digits than its factorization.

30926484864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 30926484864 in words is "thirty billion, nine hundred twenty-six million, four hundred eighty-four thousand, eight hundred sixty-four".