Search a number
-
+
204305634819 = 3211133143119089
BaseRepresentation
bin1011111001000110010…
…0001001011000000011
3201112100102002121002200
42332101210021120003
511321404220303234
6233505014444243
720521612146126
oct2762144113003
9645312077080
10204305634819
1179711228390
1233719663683
131635c3623a0
149c61c743bd
1554ab46cd99
hex2f91909603

204305634819 has 96 divisors (see below), whose sum is σ = 366210324480. Its totient is φ = 108036633600.

The previous prime is 204305634817. The next prime is 204305634851. The reversal of 204305634819 is 918436503402.

204305634819 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 0 + 5 + 634 + 8 + 1 + 9 = 666.

It is not a de Polignac number, because 204305634819 - 21 = 204305634817 is a prime.

It is a super-2 number, since 2×2043056348192 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204305634817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1656027 + ... + 1775115.

It is an arithmetic number, because the mean of its divisors is an integer number (3814690880).

Almost surely, 2204305634819 is an apocalyptic number.

204305634819 is a deficient number, since it is larger than the sum of its proper divisors (161904689661).

204305634819 is a wasteful number, since it uses less digits than its factorization.

204305634819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119193 (or 119190 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 204305634819 in words is "two hundred four billion, three hundred five million, six hundred thirty-four thousand, eight hundred nineteen".

Divisors: 1 3 9 11 13 31 33 39 43 93 99 117 129 143 279 341 387 403 429 473 559 1023 1209 1287 1333 1419 1677 3069 3627 3999 4257 4433 5031 6149 11997 13299 14663 17329 18447 39897 43989 51987 55341 119089 131967 155961 190619 357267 571857 1071801 1309979 1548157 1715571 3691759 3929937 4644471 5120827 11075277 11789811 13933413 15362481 17029727 33225831 40609349 46087443 47992867 51089181 56329097 66570751 121828047 143978601 153267543 158745637 168987291 199712253 365484141 431935803 476236911 506961873 527921537 599136759 732278261 1428710733 1583764611 1746202007 2063693281 2196834783 4751293833 5238606021 6191079843 6590504349 15715818063 18573239529 22700626091 68101878273 204305634819