Search a number
-
+
266010005062125 = 325313991198114107
BaseRepresentation
bin111100011110111101000111…
…110110111100000111101101
31021212212022022121211221111100
4330132331013312330013231
5234331301442243442000
62341431150450113313
7110013405622511652
oct7436750766740755
91255768277757440
10266010005062125
1177839233a9a095
1225a0263057b839
13b557835c3a75c
144998d4ac29c29
1520b47e6137a00
hexf1ef47dbc1ed

266010005062125 has 96 divisors (see below), whose sum is σ = 479944205395200. Its totient is φ = 141748711344000.

The previous prime is 266010005062093. The next prime is 266010005062141. The reversal of 266010005062125 is 521260500010662.

266010005062125 is a `hidden beast` number, since 2 + 6 + 6 + 0 + 1 + 0 + 0 + 0 + 5 + 0 + 621 + 25 = 666.

It is not a de Polignac number, because 266010005062125 - 25 = 266010005062093 is a prime.

It is a super-2 number, since 2×2660100050621252 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 266010005062125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18856589322 + ... + 18856603428.

It is an arithmetic number, because the mean of its divisors is an integer number (4999418806200).

Almost surely, 2266010005062125 is an apocalyptic number.

266010005062125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

266010005062125 is a deficient number, since it is larger than the sum of its proper divisors (213934200333075).

266010005062125 is a wasteful number, since it uses less digits than its factorization.

266010005062125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27508 (or 27495 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 266010005062125 its reverse (521260500010662), we get a palindrome (787270505072787).

The spelling of 266010005062125 in words is "two hundred sixty-six trillion, ten billion, five million, sixty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 1399 4197 6995 11981 12591 14107 20985 34975 35943 42321 59905 62955 70535 104925 107829 126963 174875 179715 211605 299525 314775 352675 524625 539145 634815 898575 1058025 1497625 1573875 1763375 2695725 3174075 4492875 5290125 13478625 15870375 16761419 19735693 50284257 59207079 83807095 98678465 150852771 169015967 177621237 251421285 296035395 419035475 493392325 507047901 754263855 845079835 888106185 1257106425 1480176975 1521143703 2095177375 2466961625 2535239505 3771319275 4225399175 4440530925 6285532125 7400884875 7605718515 12676197525 18856596375 21126995875 22202654625 38028592575 63380987625 190142962875 236453337833 709360013499 1182266689165 2128080040497 3546800067495 5911333445825 10640400202485 17734000337475 29556667229125 53202001012425 88670001687375 266010005062125