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11668104361 = 10929912
BaseRepresentation
bin10101101110111100…
…10010010010101001
31010010011121010010101
422313132102102221
5142344013314421
65205451545401
7562101151654
oct126736222251
933104533111
1011668104361
114a48382561
12231775b261
13113c479c84
147c990489b
15484561191
hex2b77924a9

11668104361 has 9 divisors (see below), whose sum is σ = 11788028343. Its totient is φ = 11549391480.

The previous prime is 11668104341. The next prime is 11668104449. The reversal of 11668104361 is 16340186611.

The square root of 11668104361 is 108019.

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

It can be written as a sum of positive squares in only one way, i.e., 8132612761 + 3535491600 = 90181^2 + 59460^2 .

It is not a de Polignac number, because 11668104361 - 27 = 11668104233 is a prime.

It is a super-2 number, since 2×116681043612 (a number of 21 digits) contains 22 as substring.

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 11668104361.

It is not an unprimeable number, because it can be changed into a prime (11668104341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11773576 + ... + 11774566.

It is an arithmetic number, because the mean of its divisors is an integer number (1309780927).

Almost surely, 211668104361 is an apocalyptic number.

11668104361 is the 108019-th square number.

11668104361 is the 54010-th centered octagonal number.

It is an amenable number.

11668104361 is a deficient number, since it is larger than the sum of its proper divisors (119923982).

11668104361 is an frugal number, since it uses more digits than its factorization.

11668104361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

Multiplying 11668104361 by its product of nonzero digits (20736), we get a square (241949812029696 = 155547362).

The spelling of 11668104361 in words is "eleven billion, six hundred sixty-eight million, one hundred four thousand, three hundred sixty-one".

Divisors: 1 109 991 11881 108019 982081 11774071 107046829 11668104361