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168044244624 = 24345921932
BaseRepresentation
bin1001110010000000110…
…1111010111010010000
3121001202021220010010000
42130200031322322100
510223123311311444
6205110511210000
715066202340304
oct2344015727220
9531667803100
10168044244624
11652a3660213
1228699816900
1312b00a01599
1481c2017d04
154587cc7469
hex272037ae90

168044244624 has 225 divisors, whose sum is σ = 497328821913. Its totient is φ = 54780033024.

The previous prime is 168044244601. The next prime is 168044244649. The reversal of 168044244624 is 426442440861.

The square root of 168044244624 is 409932.

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

168044244624 is a `hidden beast` number, since 16 + 8 + 0 + 4 + 4 + 2 + 4 + 4 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40715168400 + 127329076224 = 201780^2 + 356832^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 168044244624.

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 44 ways as a sum of consecutive naturals, for example, 870695472 + ... + 870695664.

Almost surely, 2168044244624 is an apocalyptic number.

168044244624 is the 409932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168044244624

168044244624 is an abundant number, since it is smaller than the sum of its proper divisors (329284577289).

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

168044244624 is an frugal number, since it uses more digits than its factorization.

168044244624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 168044244624 in words is "one hundred sixty-eight billion, forty-four million, two hundred forty-four thousand, six hundred twenty-four".