Search a number
-
+
12525442428 = 22319149503733
BaseRepresentation
bin10111010101001001…
…10001010101111100
31012022220211101212010
423222210301111330
5201123003124203
65430515411220
7622251334602
oct135244612574
935286741763
1012525442428
115348316314
1225168b3b10
131247c872c5
1486b717872
154d4962303
hex2ea93157c

12525442428 has 96 divisors (see below), whose sum is σ = 31074624000. Its totient is φ = 3915696384.

The previous prime is 12525442421. The next prime is 12525442429. The reversal of 12525442428 is 82424452521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12525442421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17087550 + ... + 17088282.

It is an arithmetic number, because the mean of its divisors is an integer number (323694000).

Almost surely, 212525442428 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 12525442428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15537312000).

12525442428 is an abundant number, since it is smaller than the sum of its proper divisors (18549181572).

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

12525442428 is a wasteful number, since it uses less digits than its factorization.

12525442428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1409 counting only the distinct ones).

The product of its digits is 204800, while the sum is 39.

Adding to 12525442428 its reverse (82424452521), we get a palindrome (94949894949).

The spelling of 12525442428 in words is "twelve billion, five hundred twenty-five million, four hundred forty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 149 228 298 447 503 596 733 894 1006 1466 1509 1788 2012 2199 2831 2932 3018 4398 5662 6036 8493 8796 9557 11324 13927 16986 19114 27854 28671 33972 38228 41781 55708 57342 74947 83562 109217 114684 149894 167124 218434 224841 299788 327651 368699 436868 449682 655302 737398 899364 1106097 1310604 1423993 1474796 2075123 2212194 2847986 4150246 4271979 4424388 5695972 6225369 7005281 8300492 8543958 12450738 14010562 17087916 21015843 24901476 28021124 42031686 54936151 84063372 109872302 164808453 219744604 329616906 659233812 1043786869 2087573738 3131360607 4175147476 6262721214 12525442428