Search a number
-
+
728814052113 = 37971811976729
BaseRepresentation
bin10101001101100001011…
…00111110001100010001
32120200012022012220110020
422212300230332030101
543420102344131423
61314451302254053
7103440456141240
oct12466054761421
92520168186406
10728814052113
112610a7594504
12b92ba427329
135395ac1a914
14273bc03a957
1513e58a1e4e3
hexa9b0b3e311

728814052113 has 32 divisors (see below), whose sum is σ = 1128222600960. Its totient is φ = 409894318080.

The previous prime is 728814052069. The next prime is 728814052123. The reversal of 728814052113 is 311250418827.

It is not a de Polignac number, because 728814052113 - 220 = 728813003537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (728814052123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 619668 + ... + 1357061.

It is an arithmetic number, because the mean of its divisors is an integer number (35256956280).

Almost surely, 2728814052113 is an apocalyptic number.

It is an amenable number.

728814052113 is a deficient number, since it is larger than the sum of its proper divisors (399408548847).

728814052113 is a wasteful number, since it uses less digits than its factorization.

728814052113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977017.

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 728814052113 in words is "seven hundred twenty-eight billion, eight hundred fourteen million, fifty-two thousand, one hundred thirteen".

Divisors: 1 3 7 21 97 181 291 543 679 1267 2037 3801 17557 52671 122899 368697 1976729 5930187 13837103 41511309 191742713 357787949 575228139 1073363847 1342198991 2504515643 4026596973 7513546929 34705431053 104116293159 242938017371 728814052113