Search a number
-
+
33423411204 = 223217731495021
BaseRepresentation
bin11111001000001100…
…001100100000000100
310012021100001012200200
4133020030030200010
51021422343124304
623204323410500
72262156210351
oct371014144004
9105240035620
1033423411204
11131a170a597
126589523a30
1331c86c6bc1
141890d8b628
15d09457e39
hex7c830c804

33423411204 has 144 divisors (see below), whose sum is σ = 91308999600. Its totient is φ = 10270679040.

The previous prime is 33423411199. The next prime is 33423411211. The reversal of 33423411204 is 40211432433.

33423411204 is a `hidden beast` number, since 3 + 3 + 42 + 3 + 411 + 204 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1325105604 + 32098305600 = 36402^2 + 179160^2 .

It is a super-2 number, since 2×334234112042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6654214 + ... + 6659234.

It is an arithmetic number, because the mean of its divisors is an integer number (634090275).

Almost surely, 233423411204 is an apocalyptic number.

33423411204 is a gapful number since it is divisible by the number (34) 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 33423411204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45654499800).

33423411204 is an abundant number, since it is smaller than the sum of its proper divisors (57885588396).

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

33423411204 is a wasteful number, since it uses less digits than its factorization.

33423411204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5270 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 33423411204 its reverse (40211432433), we get a palindrome (73634843637).

The spelling of 33423411204 in words is "thirty-three billion, four hundred twenty-three million, four hundred eleven thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 149 153 204 219 292 298 306 438 447 596 612 657 876 894 1241 1314 1341 1788 2482 2533 2628 2682 3723 4964 5021 5066 5364 7446 7599 10042 10132 10877 11169 14892 15063 15198 20084 21754 22338 22797 30126 30396 32631 43508 44676 45189 45594 60252 65262 85357 90378 91188 97893 130524 170714 180756 184909 195786 256071 341428 366533 369818 391572 512142 554727 733066 739636 748129 768213 1024284 1099599 1109454 1466132 1496258 1536426 1664181 2199198 2218908 2244387 2992516 3072852 3298797 3328362 4398396 4488774 6231061 6597594 6656724 6733161 8977548 12462122 12718193 13195188 13466322 18693183 24924244 25436386 26932644 37386366 38154579 50872772 54613417 56079549 74772732 76309158 109226834 112159098 114463737 152618316 163840251 218453668 224318196 228927474 327680502 457854948 491520753 655361004 928428089 983041506 1856856178 1966083012 2785284267 3713712356 5570568534 8355852801 11141137068 16711705602 33423411204