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997153284288 = 26377950318671
BaseRepresentation
bin11101000001010101111…
…01111010000011000000
310112022211022211021122210
432200222331322003000
5112314132220044123
62042030315302120
7132020250032220
oct16405275720300
93468738737583
10997153284288
11354988040287
1214130874a940
1373053593085
1436396342080
151ae1189ee93
hexe82af7a0c0

997153284288 has 224 divisors, whose sum is σ = 3059602882560. Its totient is φ = 280720327680.

The previous prime is 997153284269. The next prime is 997153284313. The reversal of 997153284288 is 882482351799.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53397193 + ... + 53415863.

It is an arithmetic number, because the mean of its divisors is an integer number (13658941440).

Almost surely, 2997153284288 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 997153284288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529801441280).

997153284288 is an abundant number, since it is smaller than the sum of its proper divisors (2062449598272).

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

997153284288 is a wasteful number, since it uses less digits than its factorization.

997153284288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19275 (or 19265 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 66.

The spelling of 997153284288 in words is "nine hundred ninety-seven billion, one hundred fifty-three million, two hundred eighty-four thousand, two hundred eighty-eight".