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11660760225 = 32522323132
BaseRepresentation
bin10101101110000100…
…10001010010100001
31010002122202222212100
422313002101102201
5142340123311400
65205030321013
7561651553332
oct126702212241
933078688770
1011660760225
114a44216824
1223151b9169
13113aaa822a
147c8952289
15483ab0100
hex2b70914a1

11660760225 has 81 divisors (see below), whose sum is σ = 21903251097. Its totient is φ = 5929672320.

The previous prime is 11660760203. The next prime is 11660760227. The reversal of 11660760225 is 52206706611.

It is a happy number.

The square root of 11660760225 is 107985.

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 6550797969 + 5109962256 = 80937^2 + 71484^2 .

It is not a de Polignac number, because 11660760225 - 211 = 11660758177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11660760225.

It is not an unprimeable number, because it can be changed into a prime (11660760227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37254669 + ... + 37254981.

Almost surely, 211660760225 is an apocalyptic number.

11660760225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11660760225 is the 107985-th square number.

11660760225 is the 53993-rd centered octagonal number.

It is an amenable number.

11660760225 is a deficient number, since it is larger than the sum of its proper divisors (10242490872).

11660760225 is an equidigital number, since it uses as much as digits as its factorization.

11660760225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 11660760225 by its sum of digits (36), we get a square (419787368100 = 6479102).

The spelling of 11660760225 in words is "eleven billion, six hundred sixty million, seven hundred sixty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 207 225 313 345 529 575 939 1035 1565 1587 1725 2645 2817 4695 4761 5175 7199 7825 7935 13225 14085 21597 23475 23805 35995 39675 64791 70425 97969 107985 119025 165577 179975 293907 323955 489845 496731 539925 827885 881721 1469535 1490193 1619775 2253287 2449225 2483655 4139425 4408605 6759861 7347675 7450965 11266435 12418275 20279583 22043025 33799305 37254825 51825601 56332175 101397915 155476803 168996525 259128005 466430409 506989575 777384015 1295640025 2332152045 3886920075 11660760225