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117988442418 = 237111930743783
BaseRepresentation
bin110110111100010101…
…0001100000100110010
3102021112211001220020210
41231320222030010302
53413120020124133
6130111513444550
711344602133020
oct1557052140462
9367484056223
10117988442418
1146047444140
121aa4a110756
13b184524502
1459d411d710
1531085ad763
hex1b78a8c132

117988442418 has 128 divisors (see below), whose sum is σ = 310705274880. Its totient is φ = 28938150720.

The previous prime is 117988442389. The next prime is 117988442419. The reversal of 117988442418 is 814244889711.

117988442418 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (117988442419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2672955 + ... + 2716737.

It is an arithmetic number, because the mean of its divisors is an integer number (2427384960).

Almost surely, 2117988442418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117988442418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155352637440).

117988442418 is an abundant number, since it is smaller than the sum of its proper divisors (192716832462).

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

117988442418 is a wasteful number, since it uses less digits than its factorization.

117988442418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44132.

The product of its digits is 4128768, while the sum is 57.

The spelling of 117988442418 in words is "one hundred seventeen billion, nine hundred eighty-eight million, four hundred forty-two thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 307 399 418 462 614 627 798 921 1254 1463 1842 2149 2926 3377 4298 4389 5833 6447 6754 8778 10131 11666 12894 17499 20262 23639 34998 40831 43783 47278 64163 70917 81662 87566 122493 128326 131349 141834 192489 244986 262698 306481 384978 449141 481613 612962 831877 898282 919443 963226 1347423 1444839 1663754 1838886 2495631 2694846 2889678 3371291 4991262 5823139 6742582 9150647 10113873 11646278 13441381 17469417 18301294 20227746 26882762 27451941 34938834 40324143 54903882 64054529 80648286 94089667 128109058 147855191 188179334 192163587 255386239 282269001 295710382 384327174 443565573 510772478 564538002 766158717 887131146 1034986337 1532317434 1787703673 2069972674 2809248629 3104959011 3575407346 5363111019 5618497258 6209918022 8427745887 10726222038 16855491774 19664740403 39329480806 58994221209 117988442418