Search a number
-
+
204537697981 = 17192412413373
BaseRepresentation
bin1011111001111101100…
…1011001011010111101
3201112221120202121220121
42332133121121122331
511322343122313411
6233544024414541
720530430514121
oct2763731313275
9645846677817
10204537697981
117982021a921
1233783317451
1316398464776
149c84a01581
1554c1a0c571
hex2f9f6596bd

204537697981 has 48 divisors (see below), whose sum is σ = 235183698288. Its totient is φ = 177135206400.

The previous prime is 204537697957. The next prime is 204537697999. The reversal of 204537697981 is 189796735402.

It can be written as a sum of positive squares in 8 ways, for example, as 22592795481 + 181944902500 = 150309^2 + 426550^2 .

It is not a de Polignac number, because 204537697981 - 223 = 204529309373 is a prime.

It is a super-2 number, since 2×2045376979812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204537694981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60638011 + ... + 60641383.

It is an arithmetic number, because the mean of its divisors is an integer number (4899660381).

It is a 1-persistent number, because it is pandigital, but 2⋅204537697981 = 409075395962 is not.

Almost surely, 2204537697981 is an apocalyptic number.

It is an amenable number.

204537697981 is a deficient number, since it is larger than the sum of its proper divisors (30646000307).

204537697981 is a wasteful number, since it uses less digits than its factorization.

204537697981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 61.

The spelling of 204537697981 in words is "two hundred four billion, five hundred thirty-seven million, six hundred ninety-seven thousand, nine hundred eighty-one".

Divisors: 1 17 19 41 241 323 361 697 779 3373 4097 4579 6137 9881 13243 14801 57341 64087 77843 87001 138293 167977 187739 251617 812893 1089479 1217653 1479017 2350981 2627567 3191563 3567041 13819181 15444967 20700101 33328613 44668639 49923773 60639697 262564439 293454373 566586421 633243647 848704141 4988724341 10765141999 12031629293 204537697981