Search a number
-
+
12502443252 = 22313199521773
BaseRepresentation
bin10111010010011010…
…00010010011110100
31012021022112220220210
423221031002103310
5201101111141002
65424334425420
7621552004605
oct135115022364
935238486823
1012502443252
115336337732
12250b062270
131243293a20
1486864bdac
154d291c96c
hex2e93424f4

12502443252 has 96 divisors (see below), whose sum is σ = 31675795200. Its totient is φ = 3815285760.

The previous prime is 12502443221. The next prime is 12502443253. The reversal of 12502443252 is 25234420521.

It is a super-2 number, since 2×125024432522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12502443253) 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, 16173538 + ... + 16174310.

It is an arithmetic number, because the mean of its divisors is an integer number (329956200).

Almost surely, 212502443252 is an apocalyptic number.

12502443252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12502443252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15837897600).

12502443252 is an abundant number, since it is smaller than the sum of its proper divisors (19173351948).

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

12502443252 is a wasteful number, since it uses less digits than its factorization.

12502443252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 12502443252 its reverse (25234420521), we get a palindrome (37736863773).

The spelling of 12502443252 in words is "twelve billion, five hundred two million, four hundred forty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 199 398 521 597 773 796 1042 1194 1546 1563 2084 2319 2388 2587 3092 3126 4638 5174 6252 6773 7761 9276 10049 10348 13546 15522 20098 20319 27092 30147 31044 40196 40638 60294 81276 103679 120588 153827 207358 307654 311037 402733 414716 461481 615308 622074 805466 922962 1208199 1244148 1347827 1610932 1845924 1999751 2416398 2695654 3999502 4043481 4832796 5235529 5391308 5999253 7999004 8086962 10471058 11998506 15706587 16173924 20942116 23997012 31413174 62826348 80143867 160287734 240431601 320575468 480863202 961726404 1041870271 2083740542 3125610813 4167481084 6251221626 12502443252