Search a number
-
+
997075183104 = 2932711131931367
BaseRepresentation
bin11101000001001100100…
…11111110011000000000
310112022121212212022222100
432200212103332120000
5112314002221324404
62042014445310400
7132015311135040
oct16404623763000
93468555768870
10997075183104
11354947a46750
121412a6565400
1373040349060
1436389c11720
151ae09ac3d39
hexe8264fe600

997075183104 has 1920 divisors, whose sum is σ = 4209650565120. Its totient is φ = 218574028800.

The previous prime is 997075183099. The next prime is 997075183133. The reversal of 997075183104 is 401381570799.

It is a happy number.

997075183104 is a `hidden beast` number, since 9 + 97 + 0 + 7 + 518 + 31 + 0 + 4 = 666.

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 191 ways as a sum of consecutive naturals, for example, 2716825929 + ... + 2716826295.

It is an arithmetic number, because the mean of its divisors is an integer number (2192526336).

Almost surely, 2997075183104 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 997075183104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104825282560).

997075183104 is an abundant number, since it is smaller than the sum of its proper divisors (3212575382016).

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

997075183104 is a wasteful number, since it uses less digits than its factorization.

997075183104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 997075183104 in words is "nine hundred ninety-seven billion, seventy-five million, one hundred eighty-three thousand, one hundred four".