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42058088865 = 35513972283
BaseRepresentation
bin100111001010110110…
…111000000110100001
311000120002201021200000
4213022312320012201
51142113332320430
631153214450213
73016144566612
oct471266700641
9130502637600
1042058088865
1116922770731
128199203969
133c73587a20
14206da67c09
151162520e60
hex9cadb81a1

42058088865 has 144 divisors (see below), whose sum is σ = 82554833088. Its totient is φ = 20419651584.

The previous prime is 42058088851. The next prime is 42058088867. The reversal of 42058088865 is 56888085024.

It is a happy number.

42058088865 is a `hidden beast` number, since 420 + 5 + 80 + 8 + 88 + 65 = 666.

It is not a de Polignac number, because 42058088865 - 233 = 33468154273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42058088867) 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 143 ways as a sum of consecutive naturals, for example, 148615014 + ... + 148615296.

It is an arithmetic number, because the mean of its divisors is an integer number (573297452).

Almost surely, 242058088865 is an apocalyptic number.

42058088865 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42058088865 is a deficient number, since it is larger than the sum of its proper divisors (40496744223).

42058088865 is an equidigital number, since it uses as much as digits as its factorization.

42058088865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 42058088865 in words is "forty-two billion, fifty-eight million, eighty-eight thousand, eight hundred sixty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 97 117 135 195 243 283 291 351 405 485 585 849 873 1053 1215 1261 1415 1455 1755 2547 2619 3159 3679 3783 4245 4365 5265 6305 7641 7857 9409 11037 11349 12735 13095 15795 18395 18915 22923 23571 27451 28227 33111 34047 38205 39285 47045 55185 56745 68769 82353 84681 99333 102141 114615 117855 122317 137255 141135 165555 170235 247059 254043 297999 306423 343845 356863 366951 411765 423405 496665 510705 611585 741177 762129 893997 1070589 1100853 1235295 1270215 1489995 1532115 1784315 1834755 2223531 2286387 2662747 3211767 3302559 3705885 3810645 4469985 5352945 5504265 6670593 7988241 9635301 9907677 11117655 11431935 13313735 16058835 16512795 23964723 28905903 29723031 33352965 34615711 39941205 48176505 49538385 71894169 86717709 103847133 119823615 144529515 148615155 173078555 215682507 311541399 359470845 433588545 519235665 647047521 934624197 1078412535 1557706995 2803872591 3235237605 4673120985 8411617773 14019362955 42058088865