Search a number
-
+
23184235053792 = 25321719249228533
BaseRepresentation
bin1010100010110000000000…
…00110000100001011100000
310001002101120012111012222200
411101120000012010023200
511014322303133210132
6121150405054133200
74612001646264501
oct521300006041340
9101071505435880
1023184235053792
11742941930454a
1227253154b1200
13cc2357c88267
145a21a15acba8
152a311d9d8d7c
hex1516001842e0

23184235053792 has 144 divisors (see below), whose sum is σ = 73482540964560. Its totient is φ = 6890670452736.

The previous prime is 23184235053781. The next prime is 23184235053817. The reversal of 23184235053792 is 29735053248132.

23184235053792 is a `hidden beast` number, since 2 + 3 + 1 + 8 + 42 + 3 + 505 + 3 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×231842350537922 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124521243 + ... + 124707290.

It is an arithmetic number, because the mean of its divisors is an integer number (510295423365).

Almost surely, 223184235053792 is an apocalyptic number.

It is an amenable number.

23184235053792 is an abundant number, since it is smaller than the sum of its proper divisors (50298305910768).

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

23184235053792 is a wasteful number, since it uses less digits than its factorization.

23184235053792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249228585 (or 249228574 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 23184235053792 in words is "twenty-three trillion, one hundred eighty-four billion, two hundred thirty-five million, fifty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 32 34 36 38 48 51 57 68 72 76 96 102 114 136 144 152 153 171 204 228 272 288 304 306 323 342 408 456 544 608 612 646 684 816 912 969 1224 1292 1368 1632 1824 1938 2448 2584 2736 2907 3876 4896 5168 5472 5814 7752 10336 11628 15504 23256 31008 46512 93024 249228533 498457066 747685599 996914132 1495371198 1993828264 2243056797 2990742396 3987656528 4236885061 4486113594 4735342127 5981484792 7975313056 8473770122 8972227188 9470684254 11962969584 12710655183 14206026381 16947540244 17944454376 18941368508 23925939168 25421310366 28412052762 33895080488 35888908752 37882737016 38131965549 42618079143 50842620732 56824105524 67790160976 71777817504 75765474032 76263931098 80500816159 85236158286 101685241464 113648211048 135580321952 151530948064 152527862196 161001632318 170472316572 203370482928 227296422096 241502448477 305055724392 322003264636 340944633144 406740965856 454592844192 483004896954 610111448784 644006529272 681889266288 724507345431 966009793908 1220222897568 1288013058544 1363778532576 1449014690862 1932019587816 2576026117088 2898029381724 3864039175632 5796058763448 7728078351264 11592117526896 23184235053792