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2180502663144 = 2331341337505811
BaseRepresentation
bin11111101110110000000…
…101100010111111101000
321201110020222110012102020
4133232300011202333220
5241211132140210034
64345413055304440
7313351613553261
oct37566005427750
97643228405366
102180502663144
117708229a9253
122b2719b1b120
1312a80b383c20
1477773335968
153babe8c8249
hex1fbb0162fe8

2180502663144 has 128 divisors (see below), whose sum is σ = 6031626007680. Its totient is φ = 652616294400.

The previous prime is 2180502663139. The next prime is 2180502663151. The reversal of 2180502663144 is 4413662050812.

It is a junction number, because it is equal to n+sod(n) for n = 2180502663096 and 2180502663105.

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, 4057999 + ... + 4563809.

It is an arithmetic number, because the mean of its divisors is an integer number (47122078185).

Almost surely, 22180502663144 is an apocalyptic number.

2180502663144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2180502663144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015813003840).

2180502663144 is an abundant number, since it is smaller than the sum of its proper divisors (3851123344536).

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

2180502663144 is a wasteful number, since it uses less digits than its factorization.

2180502663144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506211 (or 506207 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 2180502663144 in words is "two trillion, one hundred eighty billion, five hundred two million, six hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 337 492 533 674 984 1011 1066 1348 1599 2022 2132 2696 3198 4044 4264 4381 6396 8088 8762 12792 13143 13817 17524 26286 27634 35048 41451 52572 55268 82902 105144 110536 165804 179621 331608 359242 505811 538863 718484 1011622 1077726 1436968 1517433 2023244 2155452 3034866 4046488 4310904 6069732 6575543 12139464 13151086 19726629 20738251 26302172 39453258 41476502 52604344 62214753 78906516 82953004 124429506 157813032 165906008 170458307 248859012 269597263 340916614 497718024 511374921 539194526 681833228 808791789 1022749842 1078389052 1363666456 1617583578 2045499684 2156778104 2215957991 3235167156 4090999368 4431915982 6470334312 6647873973 6988790587 8863831964 13295747946 13977581174 17727663928 20966371761 26591495892 27955162348 41932743522 53182991784 55910324696 83865487044 90854277631 167730974088 181708555262 272562832893 363417110524 545125665786 726834221048 1090251331572 2180502663144