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468469001385 = 33572116438109
BaseRepresentation
bin1101101000100101110…
…11011010110010101001
31122210012102002000121000
412310102323122302221
530133411031021020
6555113420305213
745563045544600
oct6642273326251
91583172060530
10468469001385
111707495a1560
12769613a2209
133523a82c048
1418961726a37
15c2bc8da090
hex6d12edaca9

468469001385 has 96 divisors (see below), whose sum is σ = 1056880137600. Its totient is φ = 194688385920.

The previous prime is 468469001381. The next prime is 468469001467. The reversal of 468469001385 is 583100964864.

468469001385 is a `hidden beast` number, since 46 + 8 + 469 + 0 + 0 + 138 + 5 = 666.

It is not a de Polignac number, because 468469001385 - 22 = 468469001381 is a prime.

It is not an unprimeable number, because it can be changed into a prime (468469001381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3146290 + ... + 3291819.

It is an arithmetic number, because the mean of its divisors is an integer number (11009168100).

Almost surely, 2468469001385 is an apocalyptic number.

468469001385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

468469001385 is an abundant number, since it is smaller than the sum of its proper divisors (588411136215).

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

468469001385 is a wasteful number, since it uses less digits than its factorization.

468469001385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6438148 (or 6438135 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 468469001385 in words is "four hundred sixty-eight billion, four hundred sixty-nine million, one thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 99 105 135 147 165 189 231 245 297 315 385 441 495 539 693 735 945 1155 1323 1485 1617 2079 2205 2695 3465 4851 6615 8085 10395 14553 24255 72765 6438109 19314327 32190545 45066763 57942981 70819199 96571635 135200289 173828943 212457597 225333815 289714905 315467341 354095995 405600867 495734393 637372791 676001445 869144715 946402023 1062287985 1216802601 1487203179 1577336705 1912118373 2028004335 2478671965 2839206069 3186863955 3470140751 4461609537 4732010115 6084013005 7436015895 8517618207 9560591865 10410422253 13384828611 14196030345 17350703755 22308047685 31231266759 42588091035 52052111265 66924143055 93693800277 156156333795 468469001385