Search a number
-
+
33194155968 = 263361331337
BaseRepresentation
bin11110111010100001…
…101001111111000000
310011200100122211122000
4132322201221333000
51020440200442333
623125453544000
72253403445631
oct367241517700
9104610584560
1033194155968
1113094265756
1265247a5000
13319006890c
14186c751888
15ce4270713
hex7ba869fc0

33194155968 has 112 divisors (see below), whose sum is σ = 97746982560. Its totient is φ = 11046316032.

The previous prime is 33194155961. The next prime is 33194155993. The reversal of 33194155968 is 86955149133.

33194155968 is a `hidden beast` number, since 3 + 3 + 1 + 9 + 41 + 5 + 596 + 8 = 666.

It is a super-2 number, since 2×331941559682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33194155961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1043596 + ... + 1074932.

Almost surely, 233194155968 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 33194155968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48873491280).

33194155968 is an abundant number, since it is smaller than the sum of its proper divisors (64552826592).

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

33194155968 is a wasteful number, since it uses less digits than its factorization.

33194155968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31971 (or 31955 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 33194155968 in words is "thirty-three billion, one hundred ninety-four million, one hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 613 864 1226 1728 1839 2452 3678 4904 5517 7356 9808 11034 14712 16551 19616 22068 29424 31337 33102 39232 44136 58848 62674 66204 88272 94011 117696 125348 132408 176544 188022 250696 264816 282033 353088 376044 501392 529632 564066 752088 846099 1002784 1059264 1128132 1504176 1692198 2005568 2256264 3008352 3384396 4512528 6016704 6768792 9025056 13537584 18050112 19209581 27075168 38419162 54150336 57628743 76838324 115257486 153676648 172886229 230514972 307353296 345772458 461029944 518658687 614706592 691544916 922059888 1037317374 1229413184 1383089832 1844119776 2074634748 2766179664 3688239552 4149269496 5532359328 8298538992 11064718656 16597077984 33194155968