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2168485800728 = 23132337178713711
BaseRepresentation
bin11111100011100011110…
…100110110101100011000
321200022020111121100011212
4133203203310312230120
5241012024331110403
64340104424242252
7312445046116052
oct37434364665430
97608214540155
102168485800728
1176671677a6a5
122b0325610388
13129644897150
1476d533a88d2
153b6199264d8
hex1f8e3d36b18

2168485800728 has 128 divisors (see below), whose sum is σ = 4695506565120. Its totient is φ = 930862056960.

The previous prime is 2168485800671. The next prime is 2168485800769. The reversal of 2168485800728 is 8270085848612.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158149793 + ... + 158163503.

It is an arithmetic number, because the mean of its divisors is an integer number (36683645040).

Almost surely, 22168485800728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2168485800728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347753282560).

2168485800728 is an abundant number, since it is smaller than the sum of its proper divisors (2527020764392).

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

2168485800728 is a wasteful number, since it uses less digits than its factorization.

2168485800728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15577 (or 15573 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 59.

The spelling of 2168485800728 in words is "two trillion, one hundred sixty-eight billion, four hundred eighty-five million, eight hundred thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 23 26 37 46 52 74 92 104 148 184 296 299 481 598 851 962 1196 1702 1787 1924 2392 3404 3574 3848 6808 7148 11063 13711 14296 22126 23231 27422 41101 44252 46462 54844 66119 82202 88504 92924 109688 132238 164404 178243 185848 264476 315353 328808 356486 507307 528952 534313 630706 712972 859547 1014614 1068626 1261412 1425944 1520737 1719094 2029228 2137252 2522824 3041474 3438188 4058456 4099589 4274504 6082948 6594991 6876376 8199178 11668061 12165896 13189982 16398356 19769581 23336122 24501557 26379964 32796712 39539162 46672244 49003114 52759928 79078324 93344488 98006228 151684793 158156648 196012456 303369586 318520241 563535811 606739172 637040482 906557609 1127071622 1213478344 1274080964 1813115218 2254143244 2548161928 3626230436 4508286488 7252460872 7325965543 11785248917 14651931086 20850825007 23570497834 29303862172 41701650014 47140995668 58607724344 83403300028 94281991336 166806600056 271060725091 542121450182 1084242900364 2168485800728