Search a number
-
+
205191300195 = 3357323918541
BaseRepresentation
bin1011111100011001011…
…0101100010001100011
3201121122010122001121000
42333012112230101203
511330212433101240
6234132533403043
720552555163000
oct2770626542143
9647563561530
10205191300195
117a026159942
1233926199483
13164709aa23b
149d0773c8a7
15550e0b7430
hex2fc65ac463

205191300195 has 128 divisors (see below), whose sum is σ = 427207680000. Its totient is φ = 93404223360.

The previous prime is 205191300163. The next prime is 205191300199. The reversal of 205191300195 is 591003191502.

205191300195 is a `hidden beast` number, since 2 + 0 + 519 + 130 + 0 + 1 + 9 + 5 = 666.

It is not a de Polignac number, because 205191300195 - 25 = 205191300163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205191300199) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11057625 + ... + 11076165.

It is an arithmetic number, because the mean of its divisors is an integer number (3337560000).

Almost surely, 2205191300195 is an apocalyptic number.

205191300195 is an abundant number, since it is smaller than the sum of its proper divisors (222016379805).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205191300195 is a wasteful number, since it uses less digits than its factorization.

205191300195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18815 (or 18795 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

Adding to 205191300195 its reverse (591003191502), we get a palindrome (796194491697).

The spelling of 205191300195 in words is "two hundred five billion, one hundred ninety-one million, three hundred thousand, one hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 239 245 315 343 441 717 735 945 1029 1195 1323 1673 1715 2151 2205 3087 3585 5019 5145 6453 6615 8365 9261 10755 11711 15057 15435 18541 25095 32265 35133 45171 46305 55623 58555 75285 81977 92705 105399 129787 166869 175665 225855 245931 278115 316197 389361 409885 500607 526995 648935 737793 834345 908509 1168083 1229655 1580985 1946805 2213379 2503035 2725527 3504249 3688965 4431299 4542545 5840415 6359563 8176581 11066895 13293897 13627635 17521245 19078689 22156495 24529743 31019093 31797815 39881691 40882905 57236067 66469485 93057279 95393445 119645073 122648715 155095465 171708201 199408455 217133651 279171837 286180335 465286395 598225365 651400953 837515511 858541005 1085668255 1395859185 1519935557 1954202859 3257004765 4187577555 4559806671 5862608577 7599677785 9771014295 13679420013 22799033355 29313042885 41038260039 68397100065 205191300195