Search a number
-
+
23738633683732 = 221119711282331189
BaseRepresentation
bin1010110010111000101001…
…10101000000001100010100
310010001101120012022122210001
411121130110311000030110
511102413210210334412
6122253213332541044
75000026321010662
oct531342465001424
9103041505278701
1023738633683732
117622552938850
1227b4858481784
13103270b249256
145c0d553a1c32
152b276a229957
hex159714d40314

23738633683732 has 96 divisors (see below), whose sum is σ = 48381648537600. Its totient is φ = 10077291907200.

The previous prime is 23738633683703. The next prime is 23738633683733.

23738633683732 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23738633683733) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 761106394 + ... + 761137582.

It is an arithmetic number, because the mean of its divisors is an integer number (503975505600).

Almost surely, 223738633683732 is an apocalyptic number.

23738633683732 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23738633683732 is an abundant number, since it is smaller than the sum of its proper divisors (24643014853868).

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

23738633683732 is a wasteful number, since it uses less digits than its factorization.

23738633683732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44117 (or 44115 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 64.

The spelling of 23738633683732 in words is "twenty-three trillion, seven hundred thirty-eight billion, six hundred thirty-three million, six hundred eighty-three thousand, seven hundred thirty-two".

Divisors: 1 2 4 11 19 22 38 44 71 76 142 209 284 418 781 836 1349 1562 2698 3124 5396 12823 14839 25646 29678 31189 51292 59356 62378 124756 141053 243637 282106 343079 487274 564212 592591 686158 910433 974548 1185182 1372316 1820866 2214419 2370364 2680007 3641732 4428838 5360014 6518501 8857676 10014763 10720028 13037002 17298227 20029526 24358609 26074004 34596454 40059052 42073961 48717218 69192908 84147922 97434436 168295844 190280497 380560994 399936547 462813571 761121988 799873094 925627142 1599746188 1851254284 4399302017 7598794393 8798604034 15197588786 17597208068 28395494837 30395177572 56790989674 83586738323 113581979348 167173476646 312350443207 334346953292 539514401903 624700886414 1079028803806 1249401772828 2158057607612 5934658420933 11869316841866 23738633683732