Search a number
-
+
923243203296 = 253231379728813
BaseRepresentation
bin11010110111101011001…
…01010100101011100000
310021021001101222011000200
431123311211110223200
5110111300230001141
61544044305545200
7123462553513431
oct15336545245340
93237041864020
10923243203296
113265aa7a0517
1212ab20345200
13690a504b13b
1432984301488
1519037d7bab6
hexd6f5954ae0

923243203296 has 288 divisors, whose sum is σ = 2812205829888. Its totient is φ = 286773903360.

The previous prime is 923243203277. The next prime is 923243203303. The reversal of 923243203296 is 692302342329.

923243203296 is a `hidden beast` number, since 9 + 2 + 32 + 4 + 320 + 3 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32028186 + ... + 32056998.

It is an arithmetic number, because the mean of its divisors is an integer number (9764603576).

Almost surely, 2923243203296 is an apocalyptic number.

923243203296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 923243203296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406102914944).

923243203296 is an abundant number, since it is smaller than the sum of its proper divisors (1888962626592).

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

923243203296 is a wasteful number, since it uses less digits than its factorization.

923243203296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28994 (or 28983 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 923243203296 in words is "nine hundred twenty-three billion, two hundred forty-three million, two hundred three thousand, two hundred ninety-six".