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204923172069 = 327116711713769
BaseRepresentation
bin1011111011011001011…
…1110111010011100101
3201120221110002201221200
42332312113313103211
511324140313001234
6234050154433113
720543121136230
oct2766627672345
9646843081850
10204923172069
11799a8874250
1233870432799
131642a28b445
149cbdca4417
1554e57a1d99
hex2fb65f74e5

204923172069 has 96 divisors (see below), whose sum is σ = 374966492160. Its totient is φ = 104747385600.

The previous prime is 204923172067. The next prime is 204923172073. The reversal of 204923172069 is 960271329402.

204923172069 is a `hidden beast` number, since 2 + 0 + 492 + 31 + 72 + 0 + 69 = 666.

It is not a de Polignac number, because 204923172069 - 21 = 204923172067 is a prime.

It is a super-2 number, since 2×2049231720692 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204923172067) 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, 54368817 + ... + 54372585.

It is an arithmetic number, because the mean of its divisors is an integer number (3905900960).

Almost surely, 2204923172069 is an apocalyptic number.

It is an amenable number.

204923172069 is a deficient number, since it is larger than the sum of its proper divisors (170043320091).

204923172069 is a wasteful number, since it uses less digits than its factorization.

204923172069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 204923172069 in words is "two hundred four billion, nine hundred twenty-three million, one hundred seventy-two thousand, sixty-nine".

Divisors: 1 3 7 9 11 21 33 63 67 77 99 201 231 469 603 693 737 1171 1407 2211 3513 3769 4221 5159 6633 8197 10539 11307 12881 15477 24591 26383 33921 38643 41459 46431 73773 78457 79149 90167 115929 124377 235371 237447 252523 270501 290213 373131 549199 706113 757569 811503 863027 870639 1647597 1767661 2272707 2589081 2611917 2777753 4413499 4942791 5302983 6041189 7767243 8333259 13240497 15908949 18123567 19444271 24999777 30894493 39721491 48548489 54370701 58332813 92683479 145645467 174998439 278050437 295704433 339839423 436936401 887113299 1019518269 2069931031 2661339897 3058554807 3252748763 6209793093 9758246289 18629379279 22769241341 29274738867 68307724023 204923172069