Search a number
-
+
12072523420544 = 271031987460843
BaseRepresentation
bin1010111110101101101001…
…1110000101001110000000
31120202010021220200120220012
42233223122132011032000
53040244011443424134
641402012442404052
72354132245634246
oct257533236051600
946663256616805
1012072523420544
113934a238170a4
12142b89b800628
13697584876992
142da4557c0796
1515e079d366ce
hexafada785380

12072523420544 has 64 divisors (see below), whose sum is σ = 24296506765440. Its totient is φ = 5974635879936.

The previous prime is 12072523420541. The next prime is 12072523420567. The reversal of 12072523420544 is 44502432527021.

12072523420544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12072523420541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25966187 + ... + 26427029.

It is an arithmetic number, because the mean of its divisors is an integer number (379632918210).

Almost surely, 212072523420544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12072523420544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12148253382720).

12072523420544 is an abundant number, since it is smaller than the sum of its proper divisors (12223983344896).

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

12072523420544 is a wasteful number, since it uses less digits than its factorization.

12072523420544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462947 (or 462935 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 41.

Adding to 12072523420544 its reverse (44502432527021), we get a palindrome (56574955947565).

The spelling of 12072523420544 in words is "twelve trillion, seventy-two billion, five hundred twenty-three million, four hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 103 128 206 412 824 1648 1987 3296 3974 6592 7948 13184 15896 31792 63584 127168 204661 254336 409322 460843 818644 921686 1637288 1843372 3274576 3686744 6549152 7373488 13098304 14746976 26196608 29493952 47466829 58987904 94933658 189867316 379734632 759469264 915695041 1518938528 1831390082 3037877056 3662780164 6075754112 7325560328 14651120656 29302241312 58604482624 94316589223 117208965248 188633178446 377266356892 754532713784 1509065427568 3018130855136 6036261710272 12072523420544