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16991383201 = 1323722712
BaseRepresentation
bin11111101001100001…
…11110111010100001
31121212011021200212221
433310300332322201
5234244243230301
611450012151041
71141030242232
oct176460767241
947764250787
1016991383201
11722a213761
123362468481
1317aa297300
14b728b9089
15696a73da1
hex3f4c3eea1

16991383201 has 27 divisors (see below), whose sum is σ = 18979696953. Its totient is φ = 15204140640.

The previous prime is 16991383187. The next prime is 16991383219. The reversal of 16991383201 is 10238319961.

The square root of 16991383201 is 130351.

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

It can be written as a sum of positive squares in 4 ways, for example, as 70576801 + 16920806400 = 8401^2 + 130080^2 .

It is not a de Polignac number, because 16991383201 - 233 = 8401448609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16991383231) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62698696 + ... + 62698966.

It is an arithmetic number, because the mean of its divisors is an integer number (702951739).

Almost surely, 216991383201 is an apocalyptic number.

16991383201 is the 130351-st square number.

16991383201 is the 65176-th centered octagonal number.

It is an amenable number.

16991383201 is a deficient number, since it is larger than the sum of its proper divisors (1988313752).

16991383201 is an frugal number, since it uses more digits than its factorization.

16991383201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The spelling of 16991383201 in words is "sixteen billion, nine hundred ninety-one million, three hundred eighty-three thousand, two hundred one".

Divisors: 1 13 37 169 271 481 1369 3523 6253 10027 17797 45799 73441 130351 231361 370999 954733 1694563 2717317 4822987 12411529 35325121 62698831 100540729 459226573 1307029477 16991383201