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33068753328 = 24313172183373
BaseRepresentation
bin11110110011000011…
…010010000110110000
310011100121200201112210
4132303003102012300
51020211100101303
623105214052120
72250321523362
oct366303220660
9104317621483
1033068753328
111302a4a3906
1264aa7aa040
13317009c880
141859c2ad32
15cd824e203
hex7b30d21b0

33068753328 has 120 divisors (see below), whose sum is σ = 97729540048. Its totient is φ = 9576419328.

The previous prime is 33068753317. The next prime is 33068753353. The reversal of 33068753328 is 82335786033.

It is a super-2 number, since 2×330687533282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88650 + ... + 272022.

Almost surely, 233068753328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33068753328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48864770024).

33068753328 is an abundant number, since it is smaller than the sum of its proper divisors (64660786720).

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

33068753328 is a wasteful number, since it uses less digits than its factorization.

33068753328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183431 (or 183408 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 33068753328 in words is "thirty-three billion, sixty-eight million, seven hundred fifty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 289 312 408 442 578 624 663 816 867 884 1156 1326 1734 1768 2312 2652 3468 3536 3757 4624 5304 6936 7514 10608 11271 13872 15028 22542 30056 45084 60112 90168 180336 183373 366746 550119 733492 1100238 1466984 2200476 2383849 2933968 3117341 4400952 4767698 6234682 7151547 8801904 9352023 9535396 12469364 14303094 18704046 19070792 24938728 28606188 37408092 38141584 40525433 49877456 52994797 57212376 74816184 81050866 105989594 114424752 121576299 149632368 158984391 162101732 211979188 243152598 317968782 324203464 423958376 486305196 635937564 648406928 688932361 847916752 972610392 1271875128 1377864722 1945220784 2066797083 2543750256 2755729444 4133594166 5511458888 8267188332 11022917776 16534376664 33068753328