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1327366494000 = 243353173146643
BaseRepresentation
bin10011010100001101001…
…101010101011100110000
311200220011110020101112000
4103110031031111130300
5133221421310302000
62453441142334000
7164620244016231
oct23241515253460
94626143211460
101327366494000
11471a29866188
1219530442a300
13982299b7861
144835dd4d088
15247db751000
hex1350d355730

1327366494000 has 640 divisors, whose sum is σ = 5197141647360. Its totient is φ = 322389504000.

The previous prime is 1327366493927. The next prime is 1327366494011. The reversal of 1327366494000 is 4946637231.

1327366494000 is a `hidden beast` number, since 1 + 32 + 73 + 66 + 494 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 28434679 + ... + 28481321.

It is an arithmetic number, because the mean of its divisors is an integer number (8120533824).

Almost surely, 21327366494000 is an apocalyptic number.

1327366494000 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 1327366494000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598570823680).

1327366494000 is an abundant number, since it is smaller than the sum of its proper divisors (3869775153360).

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

1327366494000 is a wasteful number, since it uses less digits than its factorization.

1327366494000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46723 (or 46701 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 1327366494000 in words is "one trillion, three hundred twenty-seven billion, three hundred sixty-six million, four hundred ninety-four thousand".