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18080822144025 = 325267242312
BaseRepresentation
bin1000001110001110001001…
…11110110010110000011001
32101000111202120201222021100
410013013010332302300121
54332214010432102100
6102242114240102013
73544203425300514
oct407070476626031
971014676658240
1018080822144025
115841040809303
122040226904909
13a120252bb634
1446718b7d7d7b
152154cc625400
hex1071c4fb2c19

18080822144025 has 81 divisors (see below), whose sum is σ = 32883102282303. Its totient is φ = 9496933063200.

The previous prime is 18080822143997. The next prime is 18080822144101. The reversal of 18080822144025 is 52044122808081.

It is a happy number.

The square root of 18080822144025 is 4252155.

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

18080822144025 is a `hidden beast` number, since 1 + 80 + 80 + 82 + 2 + 14 + 402 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6509095971849 + 11571726172176 = 2551293^2 + 3401724^2 .

It is not a de Polignac number, because 18080822144025 - 215 = 18080822111257 is a prime.

It is a super-2 number, since 2×180808221440252 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4273413660 + ... + 4273417890.

Almost surely, 218080822144025 is an apocalyptic number.

18080822144025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18080822144025 is the 4252155-th square number.

18080822144025 is the 2126078-th centered octagonal number.

It is an amenable number.

18080822144025 is a deficient number, since it is larger than the sum of its proper divisors (14802280138278).

18080822144025 is an frugal number, since it uses more digits than its factorization.

18080822144025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8612 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 18080822144025 in words is "eighteen trillion, eighty billion, eight hundred twenty-two million, one hundred forty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 67 75 201 225 335 603 1005 1675 3015 4231 4489 5025 12693 13467 15075 21155 22445 38079 40401 63465 67335 105775 112225 190395 202005 283477 317325 336675 850431 951975 1010025 1417385 2551293 4252155 7086925 12756465 17901361 18992959 21260775 53704083 56978877 63782325 89506805 94964795 161112249 170936631 268520415 284894385 447534025 474823975 805561245 854683155 1199391187 1342602075 1424471925 3598173561 4027806225 4273415775 5996955935 10794520683 17990867805 29984779675 53972603415 80359209529 89954339025 241077628587 269863017075 401796047645 723232885761 1205388142935 2008980238225 3616164428805 6026940714675 18080822144025