Search a number
-
+
997308427104 = 25331119311631093
BaseRepresentation
bin11101000001101000011…
…01101110101101100000
310112100020010202100121000
432200310031232231200
5112314441424131404
62042053540432000
7132024142521513
oct16406415565540
93470203670530
10997308427104
11354a57675390
121413506a8600
1373079772a62
14363acba8d7a
151ae202e8339
hexe83436eb60

997308427104 has 768 divisors, whose sum is σ = 3472345497600. Its totient is φ = 275121100800.

The previous prime is 997308427067. The next prime is 997308427111. The reversal of 997308427104 is 401724803799.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 912449982 + ... + 912451074.

It is an arithmetic number, because the mean of its divisors is an integer number (4521283200).

Almost surely, 2997308427104 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 997308427104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736172748800).

997308427104 is an abundant number, since it is smaller than the sum of its proper divisors (2475037070496).

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

997308427104 is a wasteful number, since it uses less digits than its factorization.

997308427104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 997308427104 in words is "nine hundred ninety-seven billion, three hundred eight million, four hundred twenty-seven thousand, one hundred four".