Search a number
-
+
6556626269281 = 112172136932
BaseRepresentation
bin101111101101001010101…
…1000010011010001100001
3212012210210120001210101101
41133122111120103101201
51324410432311104111
621540023355434401
71244462211510604
oct137322530232141
925183716053341
106556626269281
1120a8716664100
1289a874a55a01
13387396caba8a
141894b17b633b
15b5846054bc1
hex5f695613461

6556626269281 has 27 divisors (see below), whose sum is σ = 7656300144633. Its totient is φ = 5609537915520.

The previous prime is 6556626269251. The next prime is 6556626269339. The reversal of 6556626269281 is 1829626266556.

The square root of 6556626269281 is 2560591.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4914384019281 + 1642242250000 = 2216841^2 + 1281500^2 .

It is not a de Polignac number, because 6556626269281 - 215 = 6556626236513 is a prime.

It is a super-2 number, since 2×65566262692812 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6556626269251) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 478823671 + ... + 478837363.

Almost surely, 26556626269281 is an apocalyptic number.

6556626269281 is the 2560591-st square number.

6556626269281 is the 1280296-th centered octagonal number.

It is an amenable number.

6556626269281 is a deficient number, since it is larger than the sum of its proper divisors (1099673875352).

6556626269281 is an frugal number, since it uses more digits than its factorization.

6556626269281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27442 (or 13721 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 64.

Multiplying 6556626269281 by its sum of digits (64), we get a square (419624081233984 = 204847282).

The spelling of 6556626269281 in words is "six trillion, five hundred fifty-six billion, six hundred twenty-six million, two hundred sixty-nine thousand, two hundred eighty-one".

Divisors: 1 11 17 121 187 289 2057 3179 13693 34969 150623 232781 1656853 2560591 3957277 28166501 43530047 187498249 478830517 2062480739 3187470233 22687288129 35062172563 54186993961 385683898193 596056933571 6556626269281