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30816000000000 = 2143259107
BaseRepresentation
bin1110000000110111010001…
…01110111100000000000000
311001002222111000122201021100
413000123220232330000000
513014342132000000000
6145312401443054400
76330245131061445
oct700335056740000
9131088430581240
1030816000000000
119900aa06a0646
123558420071400
131426c23171b37
147877066839cc
153868dcab1a00
hex1c06e8bbc000

30816000000000 has 900 divisors, whose sum is σ = 112316560764408. Its totient is φ = 8140800000000.

The previous prime is 30815999999971. The next prime is 30816000000029. The reversal of 30816000000000 is 61803.

It is an interprime number because it is at equal distance from previous prime (30815999999971) and next prime (30816000000029).

It is a tau number, because it is divible by the number of its divisors (900).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 30816000000000.

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 59 ways as a sum of consecutive naturals, for example, 287999999947 + ... + 288000000053.

Almost surely, 230816000000000 is an apocalyptic number.

30816000000000 is a gapful number since it is divisible by the number (30) 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 30816000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56158280382204).

30816000000000 is an abundant number, since it is smaller than the sum of its proper divisors (81500560764408).

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

30816000000000 is an frugal number, since it uses more digits than its factorization.

30816000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 30816000000000 its reverse (61803), we get a palindrome (30816000061803).

The spelling of 30816000000000 in words is "thirty trillion, eight hundred sixteen billion", and thus it is an aban number.