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3993136541 is a prime number
BaseRepresentation
bin1110111000000010…
…0110110110011101
3101022021210100112222
43232000212312131
531134220332131
61500122435125
7200645046332
oct35600466635
911267710488
103993136541
11176a026649
12935362aa5
134b838a6b4
1429c488989
1518586b87b
hexee026d9d

3993136541 has 2 divisors, whose sum is σ = 3993136542. Its totient is φ = 3993136540.

The previous prime is 3993136519. The next prime is 3993136561. The reversal of 3993136541 is 1456313993.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3522897316 + 470239225 = 59354^2 + 21685^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3993136541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3993136492 and 3993136501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3993136561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1996568270 + 1996568271.

It is an arithmetic number, because the mean of its divisors is an integer number (1996568271).

Almost surely, 23993136541 is an apocalyptic number.

It is an amenable number.

3993136541 is a deficient number, since it is larger than the sum of its proper divisors (1).

3993136541 is an equidigital number, since it uses as much as digits as its factorization.

3993136541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 262440, while the sum is 44.

The square root of 3993136541 is about 63191.2694998289. The cubic root of 3993136541 is about 1586.4926103459.

The spelling of 3993136541 in words is "three billion, nine hundred ninety-three million, one hundred thirty-six thousand, five hundred forty-one".