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99119188224 = 2832729372
BaseRepresentation
bin101110001001111110…
…1101100100100000000
3100110211210020110122100
41130103331230210000
53110444003010344
6113311300110400
710106160125100
oct1342375544400
9313753213570
1099119188224
113904421a191
1217262995400
1394681a3b44
144b2409b200
1528a1c4d569
hex1713f6c900

99119188224 has 243 divisors, whose sum is σ = 332799014457. Its totient is φ = 28289544192.

The previous prime is 99119188193. The next prime is 99119188237. The reversal of 99119188224 is 42288191199.

The square root of 99119188224 is 314832.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5218617600 + 93900570624 = 72240^2 + 306432^2 .

It is a super-2 number, since 2×991191882242 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 105783084 + ... + 105784020.

Almost surely, 299119188224 is an apocalyptic number.

99119188224 is the 314832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99119188224

99119188224 is an abundant number, since it is smaller than the sum of its proper divisors (233679826233).

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

99119188224 is an frugal number, since it uses more digits than its factorization.

99119188224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 949 counting only the distinct ones).

The product of its digits is 746496, while the sum is 54.

The spelling of 99119188224 in words is "ninety-nine billion, one hundred nineteen million, one hundred eighty-eight thousand, two hundred twenty-four".