Search a number
-
+
127331304646 = 272131271734549
BaseRepresentation
bin111011010010110001…
…0011000010011000110
3110011122221022110211011
41312211202120103012
54041233303222041
6134254543432434
712125250142300
oct1664542302306
9404587273734
10127331304646
114a001224887
1220816bb571a
13c01302bb60
14623cca4970
1534a3913e81
hex1da58984c6

127331304646 has 96 divisors (see below), whose sum is σ = 242602214400. Its totient is φ = 49676385024.

The previous prime is 127331304641. The next prime is 127331304679. The reversal of 127331304646 is 646403133721.

It is a super-3 number, since 3×1273313046463 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 127331304599 and 127331304608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127331304641) by changing a digit.

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, 27988780 + ... + 27993328.

It is an arithmetic number, because the mean of its divisors is an integer number (2527106400).

Almost surely, 2127331304646 is an apocalyptic number.

127331304646 is a deficient number, since it is larger than the sum of its proper divisors (115270909754).

127331304646 is a wasteful number, since it uses less digits than its factorization.

127331304646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 127331304646 in words is "one hundred twenty-seven billion, three hundred thirty-one million, three hundred four thousand, six hundred forty-six".

Divisors: 1 2 7 13 14 26 49 91 98 127 173 182 254 346 637 889 1211 1274 1651 1778 2249 2422 3302 4498 4549 6223 8477 9098 11557 12446 15743 16954 21971 23114 31486 31843 43942 59137 63686 80899 110201 118274 153797 161798 220402 222901 285623 307594 413959 445802 571246 577723 786977 827918 1076579 1155446 1573954 1999361 2153158 2897713 3998722 4044061 5508839 5795426 7510399 8088122 10230701 11017678 13995527 15020798 20461402 27991054 28308427 38561873 52572793 56616854 71614907 77123746 99946079 105145586 143229814 199892158 368009551 501304349 699622553 736019102 1002608698 1299299027 1399245106 2598598054 4897357871 9095093189 9794715742 18190186378 63665652323 127331304646