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18274222080000 = 218385417
BaseRepresentation
bin1000010011110110011001…
…00001000000000000000000
32101200222221221211200000000
410021323030201000000000
54343401101323030000
6102511021200000000
73564161154522405
oct411731441000000
971628857750000
1018274222080000
115906065a57737
122071800000000
13a27337122c83
144726971082ac
1521a54b430000
hex109ecc840000

18274222080000 has 1710 divisors, whose sum is σ = 72532368623286. Its totient is φ = 4586471424000.

The previous prime is 18274222079987. The next prime is 18274222080031. The reversal of 18274222080000 is 8022247281.

18274222080000 is a `hidden beast` number, since 1 + 8 + 27 + 422 + 208 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 4650682023936 + 13623540056064 = 2156544^2 + 3691008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1074954239992 + ... + 1074954240008.

Almost surely, 218274222080000 is an apocalyptic number.

18274222080000 is a gapful number since it is divisible by the number (10) 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 18274222080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36266184311643).

18274222080000 is an abundant number, since it is smaller than the sum of its proper divisors (54258146543286).

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

18274222080000 is an frugal number, since it uses more digits than its factorization.

18274222080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 18274222080000 in words is "eighteen trillion, two hundred seventy-four billion, two hundred twenty-two million, eighty thousand".