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194423456304 = 24357112431373
BaseRepresentation
bin1011010100010010001…
…0101000001000110000
3200120211201000220200000
42311010202220020300
511141134401100204
6225152241230000
720021665053060
oct2650442501060
9616751026600
10194423456304
11754aaa77400
1231820032300
1315445bb838c
1495a56213a0
1550cdad5039
hex2d448a8230

194423456304 has 720 divisors, whose sum is σ = 725845376256. Its totient is φ = 49289264640.

The previous prime is 194423456299. The next prime is 194423456309. The reversal of 194423456304 is 403654324491.

194423456304 is a `hidden beast` number, since 1 + 9 + 4 + 4 + 2 + 3 + 4 + 5 + 630 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (194423456299) and next prime (194423456309).

It is a super-2 number, since 2×1944234563042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 194423456304.

It is not an unprimeable number, because it can be changed into a prime (194423456309) 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 143 ways as a sum of consecutive naturals, for example, 141604162 + ... + 141605534.

Almost surely, 2194423456304 is an apocalyptic number.

194423456304 is a gapful number since it is divisible by the number (14) 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 194423456304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362922688128).

194423456304 is an abundant number, since it is smaller than the sum of its proper divisors (531421919952).

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

194423456304 is a wasteful number, since it uses less digits than its factorization.

194423456304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 194423456304 in words is "one hundred ninety-four billion, four hundred twenty-three million, four hundred fifty-six thousand, three hundred four".