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18894976681 = 727322692
BaseRepresentation
bin10001100110001110…
…100111011010101001
31210202211020021020011
4101212032213122221
5302144103223211
612402532531521
71236143436400
oct214616473251
953684207204
1018894976681
1180167a3709
1237b3a80ba1
131a21788699
14cb363a637
15758c41921
hex4663a76a9

18894976681 has 27 divisors (see below), whose sum is σ = 22368241701. Its totient is φ = 15914453184.

The previous prime is 18894976657. The next prime is 18894976699. The reversal of 18894976681 is 18667949881.

The square root of 18894976681 is 137459.

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 3696032025 + 15198944656 = 60795^2 + 123284^2 .

It is not a de Polignac number, because 18894976681 - 211 = 18894974633 is a prime.

It is a super-2 number, since 2×188949766812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18894976081) 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, 70241415 + ... + 70241683.

Almost surely, 218894976681 is an apocalyptic number.

18894976681 is the 137459-th square number.

18894976681 is the 68730-th centered octagonal number.

It is an amenable number.

18894976681 is a deficient number, since it is larger than the sum of its proper divisors (3473265020).

18894976681 is an frugal number, since it uses more digits than its factorization.

18894976681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 349 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 67.

The spelling of 18894976681 in words is "eighteen billion, eight hundred ninety-four million, nine hundred seventy-six thousand, six hundred eighty-one".

Divisors: 1 7 49 73 269 511 1883 3577 5329 13181 19637 37303 72361 137459 261121 506527 962213 1433501 3545689 5282353 10034507 36976471 70241549 258835297 385611769 2699282383 18894976681