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445692392199184 = 241324059892
BaseRepresentation
bin110010101010110101101100…
…0101101110101010000010000
32011110001202222010101022211211
41211111223120231311100100
5431404211004400333214
64215524131451345504
7162610132651236454
oct14525533055652020
92143052863338754
10445692392199184
1111a01409a246529
1241ba2208452294
131618c7c6143300
147c0b8ac23a664
15367d73679b0c4
hex1955ad8b75410

445692392199184 has 45 divisors (see below), whose sum is σ = 935066260631703. Its totient is φ = 205703674340736.

The previous prime is 445692392199133. The next prime is 445692392199211. The reversal of 445692392199184 is 481991293296544.

The square root of 445692392199184 is 21111428.

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 190438344003600 + 255254048195584 = 13799940^2 + 15976672^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 445692392199184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1097591262 + ... + 1097997250.

Almost surely, 2445692392199184 is an apocalyptic number.

445692392199184 is the 21111428-th square number.

It is an amenable number.

445692392199184 is an abundant number, since it is smaller than the sum of its proper divisors (489373868432519).

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

445692392199184 is an frugal number, since it uses more digits than its factorization.

445692392199184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812012 (or 406004 counting only the distinct ones).

The product of its digits is 1209323520, while the sum is 76.

The spelling of 445692392199184 in words is "four hundred forty-five trillion, six hundred ninety-two billion, three hundred ninety-two million, one hundred ninety-nine thousand, one hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 405989 811978 1623956 3247912 5277857 6495824 10555714 21111428 42222856 68612141 84445712 137224282 274448564 548897128 1097794256 164827068121 329654136242 659308272484 1318616544968 2142751885573 2637233089936 4285503771146 8571007542292 17142015084584 27855774512449 34284030169168 55711549024898 111423098049796 222846196099592 445692392199184