Search a number
-
+
299649466368 = 2233672
BaseRepresentation
bin1000101110001001000…
…00000000000000000000
31001122110002100002000000
410113010200000000000
514402140230410433
6345353532000000
730435410303400
oct4270440000000
91048402302000
10299649466368
1110609834818a
124a0a8000000
1322345319865
1410708776800
157bdba1c113
hex45c4800000

299649466368 has 504 divisors, whose sum is σ = 1045237271715. Its totient is φ = 85614133248.

The previous prime is 299649466343. The next prime is 299649466379. The reversal of 299649466368 is 863664946992.

It is a happy number.

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.

299649466368 is a `hidden beast` number, since 2 + 9 + 96 + 49 + 466 + 36 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 149824733184 + 149824733184 = 387072^2 + 387072^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=387072.

It is a super-2 number, since 2×2996494663682 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (725594112) is a multiple of the sum of its prime divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 299649466296 and 299649466305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 42807066621 + ... + 42807066627.

Almost surely, 2299649466368 is an apocalyptic number.

299649466368 is a gapful number since it is divisible by the number (28) 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 299649466368

299649466368 is an abundant number, since it is smaller than the sum of its proper divisors (745587805347).

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

299649466368 is an frugal number, since it uses more digits than its factorization.

299649466368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 12 counting only the distinct ones).

The product of its digits is 725594112, while the sum is 72.

Multiplying 299649466368 by its sum of digits (72), we get a square (21574761578496 = 46448642).

299649466368 divided by its sum of digits (72) gives a square (4161798144 = 645122).

The spelling of 299649466368 in words is "two hundred ninety-nine billion, six hundred forty-nine million, four hundred sixty-six thousand, three hundred sixty-eight".