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19301267041 = 728922232
BaseRepresentation
bin10001111110011100…
…011111011001100001
31211211010201221211021
4101332130133121201
5304012111021131
612511125045441
71252206030400
oct217634373141
954733657737
1019301267041
118205075671
1238a7b56881
131a879c0194
14d1159b637
1577e748e11
hex47e71f661

19301267041 has 27 divisors (see below), whose sum is σ = 22809888531. Its totient is φ = 16284701664.

The previous prime is 19301267039. The next prime is 19301267077. The reversal of 19301267041 is 14076210391.

The square root of 19301267041 is 138929.

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., 3706252641 + 15595014400 = 60879^2 + 124880^2 .

It is not a de Polignac number, because 19301267041 - 21 = 19301267039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19301266988 and 19301267006.

It is not an unprimeable number, because it can be changed into a prime (19301267081) 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, 86552656 + ... + 86552878.

Almost surely, 219301267041 is an apocalyptic number.

19301267041 is the 138929-th square number.

19301267041 is the 69465-th centered octagonal number.

It is an amenable number.

19301267041 is a deficient number, since it is larger than the sum of its proper divisors (3508621490).

19301267041 is an frugal number, since it uses more digits than its factorization.

19301267041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 19301267041 in words is "nineteen billion, three hundred one million, two hundred sixty-seven thousand, forty-one".

Divisors: 1 7 49 89 223 623 1561 4361 7921 10927 19847 49729 55447 138929 348103 388129 972503 1766383 2436721 4425881 12364681 30981167 86552767 216868169 393903409 2757323863 19301267041