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468468473616 = 243311137583341
BaseRepresentation
bin1101101000100101110…
…01011001111100010000
31122210012101002012122000
412310102321121330100
530133410412123431
6555113401114000
745563041216113
oct6642271317420
91583171065560
10468468473616
11170749270a90
1276961188900
133523a6a5a60
141896162a57a
15c2bc8339e6
hex6d12e59f10

468468473616 has 160 divisors (see below), whose sum is σ = 1579761805440. Its totient is φ = 131040115200.

The previous prime is 468468473611. The next prime is 468468473659. The reversal of 468468473616 is 616374864864.

It is a happy number.

468468473616 is a `hidden beast` number, since 4 + 6 + 8 + 4 + 6 + 8 + 4 + 7 + 3 + 616 = 666.

It is not an unprimeable number, because it can be changed into a prime (468468473611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3729895 + ... + 3853446.

It is an arithmetic number, because the mean of its divisors is an integer number (9873511284).

Almost surely, 2468468473616 is an apocalyptic number.

It is an amenable number.

468468473616 is an abundant number, since it is smaller than the sum of its proper divisors (1111293331824).

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

468468473616 is a wasteful number, since it uses less digits than its factorization.

468468473616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7583382 (or 7583370 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 468468473616 in words is "four hundred sixty-eight billion, four hundred sixty-eight million, four hundred seventy-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 297 312 351 396 429 432 468 528 572 594 624 702 792 858 936 1144 1188 1287 1404 1584 1716 1872 2288 2376 2574 2808 3432 3861 4752 5148 5616 6864 7722 10296 15444 20592 30888 61776 7583341 15166682 22750023 30333364 45500046 60666728 68250069 83416751 91000092 98583433 121333456 136500138 166833502 182000184 197166866 204750207 250250253 273000276 295750299 333667004 364000368 394333732 409500414 500500506 546000552 591500598 667334008 750750759 788667464 819000828 887250897 1001001012 1084417763 1092001104 1183001196 1334668016 1501501518 1577334928 1638001656 1774501794 2002002024 2168835526 2252252277 2366002392 2661752691 3003003036 3253253289 3276003312 3549003588 4004004048 4337671052 4504504554 4732004784 5323505382 6006006072 6506506578 7098007176 8675342104 9009009108 9759759867 10647010764 12012012144 13013013156 14196014352 17350684208 18018018216 19519519734 21294021528 26026026312 29279279601 36036036432 39039039468 42588043056 52052052624 58558559202 78078078936 117117118404 156156157872 234234236808 468468473616