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12264898009 = 7213212172
BaseRepresentation
bin10110110110000101…
…10111110111011001
31011122202120101002211
423123002313313121
5200104303214014
65345011155121
7612635625100
oct133302676731
934582511084
1012264898009
115224240451
1224635a5aa1
131205cc2300
14844c95037
154bbb48cc4
hex2db0b7dd9

12264898009 has 27 divisors (see below), whose sum is σ = 15461944317. Its totient is φ = 9696121344.

The previous prime is 12264898003. The next prime is 12264898049. The reversal of 12264898009 is 90089846221.

Multipling 12264898009 by its sum of digits (49), we get a square (600980002441 = 7752292).

12264898009 divided by its sum of digits (49) gives a square (250304041 = 158212).

The square root of 12264898009 is 110747.

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 3440174409 + 8824723600 = 58653^2 + 93940^2 .

It is not a de Polignac number, because 12264898009 - 25 = 12264897977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12264898003) 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, 10077369 + ... + 10078585.

Almost surely, 212264898009 is an apocalyptic number.

12264898009 is the 110747-th square number.

12264898009 is the 55374-th centered octagonal number.

It is an amenable number.

12264898009 is a deficient number, since it is larger than the sum of its proper divisors (3197046308).

12264898009 is an frugal number, since it uses more digits than its factorization.

12264898009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The spelling of 12264898009 in words is "twelve billion, two hundred sixty-four million, eight hundred ninety-eight thousand, nine".

Divisors: 1 7 13 49 91 169 637 1183 1217 8281 8519 15821 59633 110747 205673 775229 1439711 1481089 10077977 10367623 19254157 72573361 134779099 250304041 943453693 1752128287 12264898009