Search a number
-
+
922043976392 = 237211244092
BaseRepresentation
bin11010110101011100001…
…10101000101011001000
310021010221211102002222102
431122232012220223020
5110101321224221032
61543325310212532
7123421052325200
oct15325606505310
93233854362872
10922043976392
11326044872600
1212a8467b4148
1368c43767816
14328acd33400
1518eb7945362
hexd6ae1a8ac8

922043976392 has 108 divisors (see below), whose sum is σ = 2211039322065. Its totient is φ = 359156434560.

The previous prime is 922043976323. The next prime is 922043976401. The reversal of 922043976392 is 293679340229.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 704166009316 + 217877967076 = 839146^2 + 466774^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=678986.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 26 ways as a sum of consecutive naturals, for example, 209125484 + ... + 209129892.

Almost surely, 2922043976392 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 922043976392

922043976392 is an abundant number, since it is smaller than the sum of its proper divisors (1288995345673).

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

922043976392 is an equidigital number, since it uses as much as digits as its factorization.

922043976392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8860 (or 4429 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 56.

The spelling of 922043976392 in words is "nine hundred twenty-two billion, forty-three million, nine hundred seventy-six thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 242 308 392 484 539 616 847 968 1078 1694 2156 3388 4312 4409 5929 6776 8818 11858 17636 23716 30863 35272 47432 48499 61726 96998 123452 193996 216041 246904 339493 387992 432082 533489 678986 864164 1066978 1357972 1728328 2133956 2376451 2715944 3734423 4267912 4752902 7468846 9505804 14937692 19011608 19439281 26140961 29875384 38878562 52281922 77757124 104563844 136074967 155514248 209127688 213832091 272149934 427664182 544299868 855328364 952524769 1088599736 1496824637 1710656728 1905049538 2352153001 2993649274 3810099076 4704306002 5987298548 7620198152 9408612004 10477772459 11974597096 16465071007 18817224008 20955544918 32930142014 41911089836 65860284028 83822179672 115255497049 131720568056 230510994098 461021988196 922043976392