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30783818208 = 25311138327017
BaseRepresentation
bin11100101010110110…
…111100100111100000
32221110101011222211010
4130222312330213200
51001021124140313
622050352020520
72136565065063
oct345266744740
987411158733
1030783818208
1112067732280
125b71531740
132b978a0760
1416c05a08da
15c028564c3
hex72adbc9e0

30783818208 has 192 divisors, whose sum is σ = 96082060032. Its totient is φ = 8506798080.

The previous prime is 30783818201. The next prime is 30783818239. The reversal of 30783818208 is 80281838703.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30783818201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1125916 + ... + 1152932.

It is an arithmetic number, because the mean of its divisors is an integer number (500427396).

Almost surely, 230783818208 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 30783818208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48041030016).

30783818208 is an abundant number, since it is smaller than the sum of its proper divisors (65298241824).

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

30783818208 is a wasteful number, since it uses less digits than its factorization.

30783818208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27137 (or 27129 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 30783818208 in words is "thirty billion, seven hundred eighty-three million, eight hundred eighteen thousand, two hundred eight".