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997368413184 = 21032111359101127
BaseRepresentation
bin11101000001101111100…
…10100011110000000000
310112100101022121222000200
432200313302203300000
5112320102303210214
62042103522245200
7132025501430163
oct16406762436000
93470338558020
10997368413184
11354a88516860
121413687b6800
1373089016590
14363b6b41ada
151ae256e6d09
hexe837ca3c00

997368413184 has 1056 divisors, whose sum is σ = 3502126817280. Its totient is φ = 269402112000.

The previous prime is 997368413143. The next prime is 997368413203. The reversal of 997368413184 is 481314863799.

997368413184 is a `hidden beast` number, since 9 + 9 + 7 + 36 + 8 + 413 + 184 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 7853294529 + ... + 7853294655.

Almost surely, 2997368413184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997368413184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751063408640).

997368413184 is an abundant number, since it is smaller than the sum of its proper divisors (2504758404096).

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

997368413184 is a wasteful number, since it uses less digits than its factorization.

997368413184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 316 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 997368413184 in words is "nine hundred ninety-seven billion, three hundred sixty-eight million, four hundred thirteen thousand, one hundred eighty-four".