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997245281888856 = 233472112131931109311
BaseRepresentation
bin1110001010111111010100001…
…0110001111110101001011000
311211202221201101100000222210000
43202233311002301332221120
52021202331314130420411
613452544054042053000
7420024410511466200
oct34257650261765130
94752851340028700
10997245281888856
1126983139254a400
1293a209971aa160
1333a5aa98c84110
1413838d0194b400
157a4598959c956
hex38afd42c7ea58

997245281888856 has 5760 divisors, whose sum is σ = 4231149931008000. Its totient is φ = 216499143168000.

The previous prime is 997245281888803. The next prime is 997245281888917. The reversal of 997245281888856 is 658888182542799.

997245281888856 is a `hidden beast` number, since 9 + 9 + 7 + 24 + 528 + 1 + 8 + 8 + 8 + 8 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 3206576468941 + ... + 3206576469251.

It is an arithmetic number, because the mean of its divisors is an integer number (734574640800).

Almost surely, 2997245281888856 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 997245281888856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115574965504000).

997245281888856 is an abundant number, since it is smaller than the sum of its proper divisors (3233904649119144).

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

997245281888856 is a wasteful number, since it uses less digits than its factorization.

997245281888856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 506 counting only the distinct ones).

The product of its digits is 44590694400, while the sum is 90.

The spelling of 997245281888856 in words is "nine hundred ninety-seven trillion, two hundred forty-five billion, two hundred eighty-one million, eight hundred eighty-eight thousand, eight hundred fifty-six".