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19662706090225 = 5211237221792
BaseRepresentation
bin1000111100010000101001…
…00111001010000011110001
32120121201212210110120100001
410132020110213022003301
510034123210224341400
6105452531131030001
74066404121055302
oct436102447120361
976551783416301
1019662706090225
1162a09a7a89400
12225692059b301
13ac8253c3c3c3
144bd9740c87a9
15241713579a6a
hex11e2149ca0f1

19662706090225 has 81 divisors (see below), whose sum is σ = 27556321784481. Its totient is φ = 13907274004800.

The previous prime is 19662706090199. The next prime is 19662706090229. The reversal of 19662706090225 is 52209060726691.

The square root of 19662706090225 is 4434265.

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 1866592610289 + 17796113479936 = 1366233^2 + 4218544^2 .

It is not a de Polignac number, because 19662706090225 - 211 = 19662706088177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19662706090229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9023728186 + ... + 9023730364.

Almost surely, 219662706090225 is an apocalyptic number.

19662706090225 is the 4434265-th square number.

19662706090225 is the 2217133-rd centered octagonal number.

It is an amenable number.

19662706090225 is a deficient number, since it is larger than the sum of its proper divisors (7893615694256).

19662706090225 is an frugal number, since it uses more digits than its factorization.

19662706090225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 19662706090225 in words is "nineteen trillion, six hundred sixty-two billion, seven hundred six million, ninety thousand, two hundred twenty-five".

Divisors: 1 5 11 25 37 55 121 185 275 407 605 925 1369 2035 2179 3025 4477 6845 10175 10895 15059 22385 23969 34225 54475 75295 80623 111925 119845 165649 263659 376475 403115 599225 828245 886853 1318295 2015575 2983051 4141225 4434265 4748041 6591475 9755383 14915255 22171325 23740205 32813561 48776915 52228451 74576275 118701025 164067805 175677517 243884575 261142255 360949171 574512961 820339025 878387585 1305711275 1804745855 1932452687 2872564805 4391937925 6500068129 9023729275 9662263435 14362824025 21256979557 32500340645 48311317175 71500749419 106284897785 162501703225 357503747095 531424488925 786508243609 1787518735475 3932541218045 19662706090225