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11197660761 = 327250392
BaseRepresentation
bin10100110110110111…
…01011111001011001
31001220101101002211100
422123123223321121
5140413100121021
65051044422013
7544326355200
oct123333537131
931811332740
1011197660761
1148268732a1
1222060a7909
131095b72c91
14783244237
154580d5626
hex29b6ebe59

11197660761 has 27 divisors (see below), whose sum is σ = 18818851701. Its totient is φ = 6397393464.

The previous prime is 11197660729. The next prime is 11197660763. The reversal of 11197660761 is 16706679111.

It is a happy number.

The square root of 11197660761 is 105819.

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

It is not a de Polignac number, because 11197660761 - 25 = 11197660729 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11197660763) 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, 2219680 + ... + 2224718.

Almost surely, 211197660761 is an apocalyptic number.

11197660761 is the 105819-th square number.

11197660761 is the 52910-th centered octagonal number.

It is an amenable number.

11197660761 is a deficient number, since it is larger than the sum of its proper divisors (7621190940).

11197660761 is an frugal number, since it uses more digits than its factorization.

11197660761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10098 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 11197660761 in words is "eleven billion, one hundred ninety-seven million, six hundred sixty thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 147 441 5039 15117 35273 45351 105819 246911 317457 740733 2222199 25391521 76174563 177740647 228523689 533221941 1244184529 1599665823 3732553587 11197660761