Search a number
-
+
33555044334 = 23761101912853
BaseRepresentation
bin11111010000000010…
…010101011111101110
310012121111201212101210
4133100002111133232
51022210042404314
623225345015250
72265345112410
oct372002253756
9105544655353
1033555044334
1113259a474a9
126605624526
133219a64b26
1418a46549b0
15d15caa559
hex7d00957ee

33555044334 has 64 divisors (see below), whose sum is σ = 78037148160. Its totient is φ = 9420001920.

The previous prime is 33555044267. The next prime is 33555044357. The reversal of 33555044334 is 43344055533.

It is a super-2 number, since 2×335550443342 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33555044292 and 33555044301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2604252 + ... + 2617104.

It is an arithmetic number, because the mean of its divisors is an integer number (1219330440).

Almost surely, 233555044334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33555044334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39018574080).

33555044334 is an abundant number, since it is smaller than the sum of its proper divisors (44482103826).

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

33555044334 is a wasteful number, since it uses less digits than its factorization.

33555044334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13945.

The product of its (nonzero) digits is 648000, while the sum is 39.

Adding to 33555044334 its reverse (43344055533), we get a palindrome (76899099867).

The spelling of 33555044334 in words is "thirty-three billion, five hundred fifty-five million, forty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 61 122 183 366 427 854 1019 1281 2038 2562 3057 6114 7133 12853 14266 21399 25706 38559 42798 62159 77118 89971 124318 179942 186477 269913 372954 435113 539826 784033 870226 1305339 1568066 2352099 2610678 4704198 5488231 10976462 13097207 16464693 26194414 32929386 39291621 78583242 91680449 183360898 275041347 550082694 798929627 1597859254 2396788881 4793577762 5592507389 11185014778 16777522167 33555044334