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12485380644 = 223211216932
BaseRepresentation
bin10111010000010111…
…11100101000100100
31012020010110001102100
423220023330220210
5201032224140034
65422525012100
7621253661442
oct135013745044
935203401370
1012485380644
115327743300
1225053b4030
13123c89b5c9
14866289b92
154d119c099
hex2e82fca24

12485380644 has 81 divisors (see below), whose sum is σ = 34710714129. Its totient is φ = 3781213920.

The previous prime is 12485380637. The next prime is 12485380673. The reversal of 12485380644 is 44608358421.

The square root of 12485380644 is 111738.

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

12485380644 is a `hidden beast` number, since 12 + 48 + 538 + 0 + 64 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4756860900 + 7728519744 = 68970^2 + 87912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12485380644.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7373862 + ... + 7375554.

Almost surely, 212485380644 is an apocalyptic number.

12485380644 is the 111738-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12485380644

12485380644 is an abundant number, since it is smaller than the sum of its proper divisors (22225333485).

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

12485380644 is a wasteful number, since it uses less digits than its factorization.

12485380644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

It can be divided in two parts, 12485 and 380644, that added together give a square (393129 = 6272).

The spelling of 12485380644 in words is "twelve billion, four hundred eighty-five million, three hundred eighty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 1693 2178 3386 4356 5079 6772 10158 15237 18623 20316 30474 37246 55869 60948 74492 111738 167607 204853 223476 335214 409706 614559 670428 819412 1229118 1843677 2458236 2866249 3687354 5732498 7374708 8598747 11464996 17197494 25796241 31528739 34394988 51592482 63057478 94586217 103184964 126114956 189172434 283758651 346816129 378344868 567517302 693632258 1040448387 1135034604 1387264516 2080896774 3121345161 4161793548 6242690322 12485380644