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12554530209 = 32136172
BaseRepresentation
bin10111011000100111…
…01110110110100001
31012101221120012210100
423230103232312201
5201202424431314
65433435053013
7623053513614
oct135423566641
935357505710
1012554530209
115362783401
1225245a1169
131251000000
1487152a17b
154d72aac09
hex2ec4eeda1

12554530209 has 63 divisors (see below), whose sum is σ = 20869110613. Its totient is φ = 7271402112.

The previous prime is 12554530207. The next prime is 12554530253. The reversal of 12554530209 is 90203545521.

It is a happy number.

The square root of 12554530209 is 112047.

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

It can be written as a sum of positive squares in 10 ways, for example, as 5141320209 + 7413210000 = 71703^2 + 86100^2 .

It is not a de Polignac number, because 12554530209 - 21 = 12554530207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12554530207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 738501769 + ... + 738501785.

Almost surely, 212554530209 is an apocalyptic number.

12554530209 is the 112047-th square number.

12554530209 is the 56024-th centered octagonal number.

It is an amenable number.

12554530209 is a deficient number, since it is larger than the sum of its proper divisors (8314580404).

12554530209 is an frugal number, since it uses more digits than its factorization.

12554530209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Multiplying 12554530209 by its sum of digits (36), we get a square (451963087524 = 6722822).

The spelling of 12554530209 in words is "twelve billion, five hundred fifty-four million, five hundred thirty thousand, two hundred nine".

Divisors: 1 3 9 13 17 39 51 117 153 169 221 289 507 663 867 1521 1989 2197 2601 2873 3757 6591 8619 11271 19773 25857 28561 33813 37349 48841 85683 112047 146523 257049 336141 371293 439569 485537 634933 1113879 1456611 1904799 3341637 4369833 4826809 5714397 6311981 8254129 14480427 18935943 24762387 43441281 56807829 74287161 82055753 107303677 246167259 321911031 738501777 965733093 1394947801 4184843403 12554530209