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127482774852 = 223172417011279
BaseRepresentation
bin111011010111010010…
…0001100010101000100
3110012001111022221212210
41312232210030111010
54042041042243402
6134321554143420
712132066464346
oct1665644142504
9405044287783
10127482774852
114a079780674
1220859881b70
13c038523cb4
146255053296
1534b1d8406c
hex1dae90c544

127482774852 has 144 divisors (see below), whose sum is σ = 324408913920. Its totient is φ = 38932992000.

The previous prime is 127482774833. The next prime is 127482774877. The reversal of 127482774852 is 258477284721.

It is a junction number, because it is equal to n+sod(n) for n = 127482774792 and 127482774801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99673149 + ... + 99674427.

It is an arithmetic number, because the mean of its divisors is an integer number (2252839680).

Almost surely, 2127482774852 is an apocalyptic number.

127482774852 is a gapful number since it is divisible by the number (12) 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 127482774852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162204456960).

127482774852 is an abundant number, since it is smaller than the sum of its proper divisors (196926139068).

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

127482774852 is a wasteful number, since it uses less digits than its factorization.

127482774852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2043 counting only the distinct ones).

The product of its digits is 14049280, while the sum is 57.

The spelling of 127482774852 in words is "one hundred twenty-seven billion, four hundred eighty-two million, seven hundred seventy-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 289 492 578 697 701 867 1156 1279 1394 1402 1734 2091 2103 2558 2788 2804 3468 3837 4182 4206 5116 7674 8364 8412 11849 11917 15348 21743 23698 23834 28741 35547 35751 43486 47396 47668 52439 57482 65229 71094 71502 86223 86972 104878 114964 130458 142188 143004 157317 172446 202589 209756 260916 314634 344892 369631 405178 488597 607767 629268 739262 810356 891463 896579 977194 1108893 1215534 1465791 1478524 1782926 1793158 1954388 2217786 2431068 2674389 2689737 2931582 3565852 3586316 4435572 5348778 5379474 5863164 8306149 10697556 10758948 15154871 15241843 16612298 24918447 30309742 30483686 33224596 36759739 45464613 45725529 49836894 60619484 60967372 73519478 90929226 91451058 99673788 110279217 147038956 181858452 182902116 220558434 259111331 441116868 518222662 624915563 777333993 1036445324 1249831126 1554667986 1874746689 2499662252 3109335972 3749493378 7498986756 10623564571 21247129142 31870693713 42494258284 63741387426 127482774852