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204432441412232 = 231122413472525387
BaseRepresentation
bin101110011110111000100011…
…000011010000101010001000
3222210211112212100010121211202
4232132320203003100222020
5203243410120000142412
62002442544515443332
761026520321553465
oct5636704303205210
9883745770117752
10204432441412232
115a1583476a8500
121ab18462bb6548
138a0bb86815c57
14386a8238d066c
151897b54a733c2
hexb9ee230d0a88

204432441412232 has 96 divisors (see below), whose sum is σ = 424292761236960. Its totient is φ = 92271543513600.

The previous prime is 204432441412231. The next prime is 204432441412289. The reversal of 204432441412232 is 232214144234402.

It is not an unprimeable number, because it can be changed into a prime (204432441412231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79688243 + ... + 82213629.

It is an arithmetic number, because the mean of its divisors is an integer number (4419716262885).

Almost surely, 2204432441412232 is an apocalyptic number.

204432441412232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204432441412232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212146380618480).

204432441412232 is an abundant number, since it is smaller than the sum of its proper divisors (219860319824728).

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

204432441412232 is a wasteful number, since it uses less digits than its factorization.

204432441412232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526003 (or 2525988 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 204432441412232 its reverse (232214144234402), we get a palindrome (436646585646634).

The spelling of 204432441412232 in words is "two hundred four trillion, four hundred thirty-two billion, four hundred forty-one million, four hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 241 242 347 482 484 694 964 968 1388 1928 2651 2776 3817 5302 7634 10604 15268 21208 29161 30536 41987 58322 83627 83974 116644 167254 167948 233288 334508 335896 669016 919897 1839794 2525387 3679588 5050774 7359176 10101548 10118867 20203096 20237734 27779257 40475468 55558514 80950936 111117028 222234056 305571827 608618267 611143654 876309289 1217236534 1222287308 1752618578 2434473068 2444574616 3505237156 4868946136 6694800937 7010474312 9639402179 13389601874 19278804358 26779203748 38557608716 53558407496 73642810307 77115217432 106033423969 147285620614 211190538649 212066847938 294571241228 422381077298 424133695876 589142482456 844762154596 848267391752 1689524309192 2323095925139 4646191850278 9292383700556 18584767401112 25554055176529 51108110353058 102216220706116 204432441412232