Search a number
-
+
19917109305 = 335178997511
BaseRepresentation
bin10010100011001001…
…101111100000111001
31220102001112222121000
4102203021233200321
5311242234444210
613052204435213
71303364431032
oct224311574071
956361488530
1019917109305
1184a0764015
123a3a248b09
131b554748a2
14d6d2a9a89
157b8845ac0
hex4a326f839

19917109305 has 64 divisors (see below), whose sum is σ = 37912665600. Its totient is φ = 9885173760.

The previous prime is 19917109217. The next prime is 19917109379. The reversal of 19917109305 is 50390171991.

It is a happy number.

It is not a de Polignac number, because 19917109305 - 215 = 19917076537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 155500 + ... + 253010.

It is an arithmetic number, because the mean of its divisors is an integer number (592385400).

Almost surely, 219917109305 is an apocalyptic number.

19917109305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19917109305 is a deficient number, since it is larger than the sum of its proper divisors (17995556295).

19917109305 is a wasteful number, since it uses less digits than its factorization.

19917109305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97631 (or 97625 counting only the distinct ones).

The product of its (nonzero) digits is 76545, while the sum is 45.

The spelling of 19917109305 in words is "nineteen billion, nine hundred seventeen million, one hundred nine thousand, three hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 85 89 135 153 255 267 445 459 765 801 1335 1513 2295 2403 4005 4539 7565 12015 13617 22695 40851 68085 97511 204255 292533 487555 877599 1462665 1657687 2632797 4387995 4973061 8288435 8678479 13163985 14919183 24865305 26035437 43392395 44757549 74595915 78106311 130177185 147534143 223787745 234318933 390531555 442602429 737670715 1171594665 1327807287 2213012145 3983421861 6639036435 19917109305