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1994337022176 = 2532232938327107
BaseRepresentation
bin11101000001010111101…
…111111111000011100000
321001122201202221202210200
4131001113233333003200
5230133400234202201
64124104043425200
7264041346662442
oct35012757770340
97048652852720
101994337022176
116a9880290824
12282623525200
131160b0259715
146c752730492
1536d25c68386
hex1d057bff0e0

1994337022176 has 288 divisors, whose sum is σ = 6138257448960. Its totient is φ = 612323238912.

The previous prime is 1994337022159. The next prime is 1994337022193. The reversal of 1994337022176 is 6712207334991.

1994337022176 is a `hidden beast` number, since 1 + 9 + 9 + 43 + 370 + 221 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1994337022159) and next prime (1994337022193).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73559215 + ... + 73586321.

It is an arithmetic number, because the mean of its divisors is an integer number (21313393920).

Almost surely, 21994337022176 is an apocalyptic number.

1994337022176 is a gapful number since it is divisible by the number (16) 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 1994337022176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069128724480).

1994337022176 is an abundant number, since it is smaller than the sum of its proper divisors (4143920426784).

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

1994337022176 is a wasteful number, since it uses less digits than its factorization.

1994337022176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27558 (or 27547 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 1994337022176 in words is "one trillion, nine hundred ninety-four billion, three hundred thirty-seven million, twenty-two thousand, one hundred seventy-six".