Search a number
-
+
269087705555449 = 112472317292
BaseRepresentation
bin111101001011101111011101…
…000110100110000111111001
31022021202112101212022020210111
4331023233131012212013321
5240232213110110233244
62352145104012544321
7110451642123202414
oct7513573506460771
91267675355266714
10269087705555449
1178815500758500
122621b0001820a1
13b71bb28370a11
144a63cb331ab7b
1521198c7024e34
hexf4bbdd1a61f9

269087705555449 has 27 divisors (see below), whose sum is σ = 302210575071951. Its totient is φ = 239412849867840.

The previous prime is 269087705555441. The next prime is 269087705555519. The reversal of 269087705555449 is 944555507780962.

It is a happy number.

The square root of 269087705555449 is 16403893.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 255689470225849 + 13398235329600 = 15990293^2 + 3660360^2 .

It is not a de Polignac number, because 269087705555449 - 23 = 269087705555441 is a prime.

It is a super-2 number, since 2×2690877055554492 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (269087705555441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8480796817 + ... + 8480828545.

Almost surely, 2269087705555449 is an apocalyptic number.

269087705555449 is the 16403893-rd square number.

269087705555449 is the 8201947-th centered octagonal number.

It is an amenable number.

269087705555449 is a deficient number, since it is larger than the sum of its proper divisors (33122869516502).

269087705555449 is an frugal number, since it uses more digits than its factorization.

269087705555449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63574 (or 31787 counting only the distinct ones).

The product of its (nonzero) digits is 3810240000, while the sum is 76.

The spelling of 269087705555449 in words is "two hundred sixty-nine trillion, eighty-seven billion, seven hundred five million, five hundred fifty-five thousand, four hundred forty-nine".

Divisors: 1 11 47 121 517 2209 5687 24299 31729 267289 349019 1491263 3839209 16403893 70089361 180442823 770982971 1006729441 8480812681 11074023851 47316283727 121814262361 520479120997 2223865335169 5725270330967 24462518686859 269087705555449