Search a number
-
+
204133322220192 = 25324039511754659
BaseRepresentation
bin101110011010100001111110…
…001010000110001010100000
3222202202221210012121021110200
4232122201332022012022200
5203224010020442021232
62002053315325225200
760666101010434301
oct5632417612061240
9882687705537420
10204133322220192
115a052501715272
121aa8a4a4702200
1389b98c73212b1
14385a1697507a8
15188ee9989e77c
hexb9a87e2862a0

204133322220192 has 72 divisors (see below), whose sum is σ = 580505902966080. Its totient is φ = 68044233513600.

The previous prime is 204133322220173. The next prime is 204133322220193. The reversal of 204133322220192 is 291022223331402.

204133322220192 is a `hidden beast` number, since 2 + 0 + 4 + 13 + 332 + 2 + 220 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (204133322220193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115460559 + ... + 117215217.

It is an arithmetic number, because the mean of its divisors is an integer number (8062581985640).

Almost surely, 2204133322220192 is an apocalyptic number.

It is an amenable number.

204133322220192 is an abundant number, since it is smaller than the sum of its proper divisors (376372580745888).

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

204133322220192 is a wasteful number, since it uses less digits than its factorization.

204133322220192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158626 (or 2158615 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 204133322220192 its reverse (291022223331402), we get a palindrome (495155545551594).

The spelling of 204133322220192 in words is "two hundred four trillion, one hundred thirty-three billion, three hundred twenty-two million, two hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 403951 807902 1211853 1615804 1754659 2423706 3231608 3509318 3635559 4847412 5263977 6463216 7018636 7271118 9694824 10527954 12926432 14037272 14542236 15791931 19389648 21055908 28074544 29084472 31583862 38779296 42111816 56149088 58168944 63167724 84223632 116337888 126335448 168447264 252670896 505341792 708796257709 1417592515418 2126388773127 2835185030836 4252777546254 5670370061672 6379166319381 8505555092508 11340740123344 12758332638762 17011110185016 22681480246688 25516665277524 34022220370032 51033330555048 68044440740064 102066661110096 204133322220192