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12442063936 = 267321912
BaseRepresentation
bin10111001011001101…
…01101010001000000
31012010002221100001211
423211212231101000
5200440132021221
65414340335504
7620216540611
oct134546552100
935102840054
1012442063936
115305247875
1224b29a4594
131233913213
14860611c08
154cc4926e1
hex2e59ad440

12442063936 has 63 divisors (see below), whose sum is σ = 25164315813. Its totient is φ = 6103687680.

The previous prime is 12442063903. The next prime is 12442063951. The reversal of 12442063936 is 63936024421.

The square root of 12442063936 is 111544.

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., 7062721600 + 5379342336 = 84040^2 + 73344^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 65141601 + ... + 65141791.

Almost surely, 212442063936 is an apocalyptic number.

12442063936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12442063936 is the 111544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12442063936

12442063936 is an abundant number, since it is smaller than the sum of its proper divisors (12722251877).

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

12442063936 is an frugal number, since it uses more digits than its factorization.

12442063936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

It can be divided in two parts, 124420 and 63936, that added together give a square (188356 = 4342).

The spelling of 12442063936 in words is "twelve billion, four hundred forty-two million, sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 73 146 191 292 382 584 764 1168 1528 2336 3056 4672 5329 6112 10658 12224 13943 21316 27886 36481 42632 55772 72962 85264 111544 145924 170528 223088 291848 341056 446176 583696 892352 1017839 1167392 2035678 2334784 2663113 4071356 5326226 8142712 10652452 16285424 21304904 32570848 42609808 65141696 85219616 170439232 194407249 388814498 777628996 1555257992 3110515984 6221031968 12442063936