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11404317681 = 32355972
BaseRepresentation
bin10101001111100000…
…00001001111110001
31002102210020100211100
422213300001033301
5141324001131211
65123350035013
7552416046411
oct124760011761
932383210740
1011404317681
114922492739
122263348a69
1310c991b293
147a287a641
1546b307156
hex2a7c013f1

11404317681 has 9 divisors (see below), whose sum is σ = 16473366091. Its totient is φ = 7602664872.

The previous prime is 11404317643. The next prime is 11404317719. The reversal of 11404317681 is 18671340411.

The square root of 11404317681 is 106791.

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

11404317681 is a `hidden beast` number, since 1 + 1 + 404 + 3 + 176 + 81 = 666.

It is an interprime number because it is at equal distance from previous prime (11404317643) and next prime (11404317719).

It can be written as a sum of positive squares in only one way, i.e., 1260605025 + 10143712656 = 35505^2 + 100716^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 11404317681 - 217 = 11404186609 is a prime.

It is a super-2 number, since 2×114043176812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11404317181) 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, 302575 + ... + 338171.

Almost surely, 211404317681 is an apocalyptic number.

11404317681 is the 106791-st square number.

11404317681 is the 53396-th centered octagonal number.

It is an amenable number.

11404317681 is a deficient number, since it is larger than the sum of its proper divisors (5069048410).

11404317681 is an frugal number, since it uses more digits than its factorization.

11404317681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71200 (or 35600 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 11404317681 by its sum of digits (36), we get a square (410555436516 = 6407462).

The spelling of 11404317681 in words is "eleven billion, four hundred four million, three hundred seventeen thousand, six hundred eighty-one".

Divisors: 1 3 9 35597 106791 320373 1267146409 3801439227 11404317681