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33420044322 = 23275314513449
BaseRepresentation
bin11111000111111111…
…010110100000100010
310012021002201011012100
4133013333112200202
51021421012404242
623204123311230
72262115455360
oct370777264042
9105232634170
1033420044322
111319a81aa45
12658837b516
1331c7ab8572
141890752630
15d08ee054c
hex7c7fd6822

33420044322 has 96 divisors (see below), whose sum is σ = 84398371200. Its totient is φ = 9359251200.

The previous prime is 33420044293. The next prime is 33420044351. The reversal of 33420044322 is 22344002433.

33420044322 is a `hidden beast` number, since 334 + 2 + 0 + 0 + 4 + 4 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (33420044293) and next prime (33420044351).

It is a super-2 number, since 2×334200443222 (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, 9688054 + ... + 9691502.

It is an arithmetic number, because the mean of its divisors is an integer number (879149700).

Almost surely, 233420044322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33420044322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42199185600).

33420044322 is an abundant number, since it is smaller than the sum of its proper divisors (50978326878).

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

33420044322 is a wasteful number, since it uses less digits than its factorization.

33420044322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 33420044322 its reverse (22344002433), we get a palindrome (55764046755).

The spelling of 33420044322 in words is "thirty-three billion, four hundred twenty million, forty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 742 954 1113 1451 2226 2902 3339 3449 4353 6678 6898 8706 10157 10347 13059 20314 20694 24143 26118 30471 31041 48286 60942 62082 72429 76903 91413 144858 153806 182797 182826 217287 230709 365594 434574 461418 538321 548391 692127 1076642 1096782 1279579 1384254 1614963 1645173 2559158 3229926 3290346 3838737 4844889 5004499 7677474 9689778 10008998 11516211 15013497 23032422 30026994 35031493 45040491 70062986 90080982 105094479 210188958 265238447 315283437 530476894 630566874 795715341 1591430682 1856669129 2387146023 3713338258 4774292046 5570007387 11140014774 16710022161 33420044322