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8275808112000 = 27353111319233189
BaseRepresentation
bin111100001101101110010…
…0110100100110110000000
31002022011022022000012001120
41320123130212210312000
52041042323334041000
625333504225032240
71512623145201102
oct170333446446600
932264268005046
108275808112000
112700828a24a70
12b17aa7485680
1348053674c830
142087a08b5572
15e541587c6a0
hex786dc9a4d80

8275808112000 has 4096 divisors, whose sum is σ = 36954537984000. Its totient is φ = 1605795840000.

The previous prime is 8275808111999. The next prime is 8275808112001. The reversal of 8275808112000 is 2118085728.

It is an interprime number because it is at equal distance from previous prime (8275808111999) and next prime (8275808112001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8275808112001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 92986607956 + ... + 92986608044.

It is an arithmetic number, because the mean of its divisors is an integer number (9022104000).

Almost surely, 28275808112000 is an apocalyptic number.

8275808112000 is a gapful number since it is divisible by the number (80) 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 8275808112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18477268992000).

8275808112000 is an abundant number, since it is smaller than the sum of its proper divisors (28678729872000).

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

8275808112000 is a wasteful number, since it uses less digits than its factorization.

8275808112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 42.

The spelling of 8275808112000 in words is "eight trillion, two hundred seventy-five billion, eight hundred eight million, one hundred twelve thousand".