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6448923198 = 2322916375793
BaseRepresentation
bin1100000000110001…
…01100001000111110
3121122102210020112100
412000120230020332
5101201411020243
62543530445530
7315544641234
oct60030541076
917572706470
106448923198
11280a2814a3
1212bb8938a6
137ba0a95b3
144526aa954
1527b2620d3
hex18062c23e

6448923198 has 48 divisors (see below), whose sum is σ = 14543352720. Its totient is φ = 2062755072.

The previous prime is 6448923193. The next prime is 6448923199. The reversal of 6448923198 is 8913298446.

6448923198 is a `hidden beast` number, since 6 + 448 + 9 + 2 + 3 + 198 = 666.

It is a super-2 number, since 2×64489231982 = 83177220827405094408, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6448923193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47190 + ... + 122982.

It is an arithmetic number, because the mean of its divisors is an integer number (302986515).

Almost surely, 26448923198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6448923198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7271676360).

6448923198 is an abundant number, since it is smaller than the sum of its proper divisors (8094429522).

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

6448923198 is a wasteful number, since it uses less digits than its factorization.

6448923198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75993 (or 75990 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 6448923198 is about 80305.1878647949. The cubic root of 6448923198 is about 1861.3543916150.

The spelling of 6448923198 in words is "six billion, four hundred forty-eight million, nine hundred twenty-three thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 29 58 87 163 174 261 326 489 522 978 1467 2934 4727 9454 14181 28362 42543 75793 85086 151586 227379 454758 682137 1364274 2197997 4395994 6593991 12354259 13187982 19781973 24708518 37062777 39563946 74125554 111188331 222376662 358273511 716547022 1074820533 2149641066 3224461599 6448923198