Search a number
-
+
1916709093 = 3213291813121
BaseRepresentation
bin111001000111110…
…1010100011100101
311221120121220120200
41302033222203211
512411134142333
6514105421113
765332521105
oct16217524345
94846556520
101916709093
118a3a28a02
12455a9a799
132471340c0
141427b7205
15b340dc13
hex723ea8e5

1916709093 has 48 divisors (see below), whose sum is σ = 3102393840. Its totient is φ = 1132185600.

The previous prime is 1916709089. The next prime is 1916709101. The reversal of 1916709093 is 3909076191.

It can be written as a sum of positive squares in 8 ways, for example, as 1182190689 + 734518404 = 34383^2 + 27102^2 .

It is not a de Polignac number, because 1916709093 - 22 = 1916709089 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1916709043) 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 in 47 ways as a sum of consecutive naturals, for example, 612573 + ... + 615693.

It is an arithmetic number, because the mean of its divisors is an integer number (64633205).

Almost surely, 21916709093 is an apocalyptic number.

1916709093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1916709093 is a deficient number, since it is larger than the sum of its proper divisors (1185684747).

1916709093 is a wasteful number, since it uses less digits than its factorization.

1916709093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 1916709093 is about 43780.2363287363. The cubic root of 1916709093 is about 1242.1824842527.

The spelling of 1916709093 in words is "one billion, nine hundred sixteen million, seven hundred nine thousand, ninety-three".

Divisors: 1 3 9 13 29 39 87 117 181 261 377 543 1131 1629 2353 3121 3393 5249 7059 9363 15747 21177 28089 40573 47241 68237 90509 121719 204711 271527 365157 564901 614133 814581 1176617 1694703 3529851 5084109 7343713 10589553 16382129 22031139 49146387 66093417 147439161 212967677 638903031 1916709093