Search a number
-
+
17049738116 = 22295319314369
BaseRepresentation
bin11111110000011111…
…00101101110000100
31122000020002102210002
433320033211232010
5234404213104431
611455455020432
71142336245205
oct177017455604
948006072702
1017049738116
11725a150664
123379b0a718
1317b93b9548
14b7a5495ac
1569bc4e3cb
hex3f83e5b84

17049738116 has 48 divisors (see below), whose sum is σ = 31613425200. Its totient is φ = 8033206272.

The previous prime is 17049738113. The next prime is 17049738119. The reversal of 17049738116 is 61183794071.

It is an interprime number because it is at equal distance from previous prime (17049738113) and next prime (17049738119).

It can be written as a sum of positive squares in 8 ways, for example, as 32535616 + 17017202500 = 5704^2 + 130450^2 .

It is not an unprimeable number, because it can be changed into a prime (17049738113) 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 15 ways as a sum of consecutive naturals, for example, 1179380 + ... + 1193748.

It is an arithmetic number, because the mean of its divisors is an integer number (658613025).

Almost surely, 217049738116 is an apocalyptic number.

It is an amenable number.

17049738116 is a deficient number, since it is larger than the sum of its proper divisors (14563687084).

17049738116 is a wasteful number, since it uses less digits than its factorization.

17049738116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14648 (or 14646 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 47.

The spelling of 17049738116 in words is "seventeen billion, forty-nine million, seven hundred thirty-eight thousand, one hundred sixteen".

Divisors: 1 2 4 29 53 58 106 116 193 212 386 772 1537 3074 5597 6148 10229 11194 14369 20458 22388 28738 40916 57476 296641 416701 593282 761557 833402 1186564 1523114 1666804 2773217 3046228 5546434 11092868 22085153 44170306 80423293 88340612 146980501 160846586 293961002 321693172 587922004 4262434529 8524869058 17049738116