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12618572421169 = 112132248412
BaseRepresentation
bin1011011110011111110110…
…0001101101100000110001
31122200022202000012220112101
42313213331201231200301
53123220314014434134
642500520411500401
72441442662566021
oct267477541554061
948608660186471
1012618572421169
114025563191300
1214b9692457701
13706c0703b300
14318a566d7a81
1516d388517e14
hexb79fd86d831

12618572421169 has 27 divisors (see below), whose sum is σ = 15019599893697. Its totient is φ = 10588585550400.

The previous prime is 12618572421157. The next prime is 12618572421179. The reversal of 12618572421169 is 96112427581621.

The square root of 12618572421169 is 3552263.

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 7927068405025 + 4691504016144 = 2815505^2 + 2165988^2 .

It is not a de Polignac number, because 12618572421169 - 25 = 12618572421137 is a prime.

It is a super-2 number, since 2×126185724211692 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12618572421149) 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, 507961189 + ... + 507986029.

Almost surely, 212618572421169 is an apocalyptic number.

12618572421169 is the 3552263-rd square number.

12618572421169 is the 1776132-nd centered octagonal number.

It is an amenable number.

12618572421169 is a deficient number, since it is larger than the sum of its proper divisors (2401027472528).

12618572421169 is an frugal number, since it uses more digits than its factorization.

12618572421169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49730 (or 24865 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 55.

The spelling of 12618572421169 in words is "twelve trillion, six hundred eighteen billion, five hundred seventy-two million, four hundred twenty-one thousand, one hundred sixty-nine".

Divisors: 1 11 13 121 143 169 1573 1859 20449 24841 273251 322933 3005761 3552263 4198129 39074893 46179419 507973609 617075281 6787828091 8021978653 74666109001 88241765183 104285722489 970659417013 1147142947379 12618572421169