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12287279104 = 2164332
BaseRepresentation
bin10110111000110000…
…10000000000000000
31011201022200110012021
423130120100000000
5200131020412404
65351131011224
7613330102102
oct133430200000
934638613167
1012287279104
115235937721
12246ab99b14
13120a82a469
14847c3d572
154bdaba454
hex2dc610000

12287279104 has 51 divisors (see below), whose sum is σ = 24631255533. Its totient is φ = 6129451008.

The previous prime is 12287279093. The next prime is 12287279117. The reversal of 12287279104 is 40197278221.

The square root of 12287279104 is 110848.

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., 1377894400 + 10909384704 = 37120^2 + 104448^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 28376872 + ... + 28377304.

Almost surely, 212287279104 is an apocalyptic number.

12287279104 is the 110848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12287279104

12287279104 is an abundant number, since it is smaller than the sum of its proper divisors (12343976429).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12287279104 is an frugal number, since it uses more digits than its factorization.

12287279104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The spelling of 12287279104 in words is "twelve billion, two hundred eighty-seven million, two hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 433 512 866 1024 1732 2048 3464 4096 6928 8192 13856 16384 27712 32768 55424 65536 110848 187489 221696 374978 443392 749956 886784 1499912 1773568 2999824 3547136 5999648 7094272 11999296 14188544 23998592 28377088 47997184 95994368 191988736 383977472 767954944 1535909888 3071819776 6143639552 12287279104