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16677136704756 = 223112691304935993
BaseRepresentation
bin1111001010101111001011…
…0011110010010011110100
32012001022121022221110112210
43302223302303302103310
54141214233444023011
655245212033413420
73340611665026533
oct362536263622364
965038538843483
1016677136704756
11534a808996a40
121a5418340a270
1393c854cbb588
1441926b95c31a
151ddc25b786a6
hexf2af2cf24f4

16677136704756 has 96 divisors (see below), whose sum is σ = 42613152624000. Its totient is φ = 5034365163520.

The previous prime is 16677136704731. The next prime is 16677136704779. The reversal of 16677136704756 is 65740763177661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463325896 + ... + 463361888.

It is an arithmetic number, because the mean of its divisors is an integer number (443887006500).

Almost surely, 216677136704756 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 16677136704756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21306576312000).

16677136704756 is an abundant number, since it is smaller than the sum of its proper divisors (25936015919244).

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

16677136704756 is a wasteful number, since it uses less digits than its factorization.

16677136704756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49329 (or 49327 counting only the distinct ones).

The product of its (nonzero) digits is 186701760, while the sum is 66.

The spelling of 16677136704756 in words is "sixteen trillion, six hundred seventy-seven billion, one hundred thirty-six million, seven hundred four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 269 538 807 1076 1614 2959 3228 5918 8877 11836 13049 17754 26098 35508 35993 39147 52196 71986 78294 107979 143539 143972 156588 215958 287078 395923 430617 431916 574156 791846 861234 1187769 1583692 1722468 2375538 3510181 4751076 7020362 9682117 10530543 14040724 19364234 21061086 29046351 38611991 38728468 42122172 58092702 77223982 106503287 115835973 116185404 154447964 213006574 231671946 319509861 426013148 463343892 469672657 639019722 939345314 1278039444 1409017971 1878690628 2818035942 5166399227 5636071884 10332798454 15499197681 20665596908 30998395362 61996790724 126341944733 252683889466 379025834199 505367778932 758051668398 1389761392063 1516103336796 2779522784126 4169284176189 5559045568252 8338568352378 16677136704756