Search a number
-
+
12603532216 = 23111713676163
BaseRepresentation
bin10111011110011101…
…01010001110111000
31012112100202202220111
423233032222032320
5201303001012331
65442345234104
7624220153612
oct135716521670
935470682814
1012603532216
115388402330
122538a92934
13125b1c9092
14877c43db2
154db739db1
hex2ef3aa3b8

12603532216 has 64 divisors (see below), whose sum is σ = 27320820480. Its totient is φ = 5387066880.

The previous prime is 12603532213. The next prime is 12603532283. The reversal of 12603532216 is 61223530621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12603532213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2041951 + ... + 2048113.

It is an arithmetic number, because the mean of its divisors is an integer number (426887820).

Almost surely, 212603532216 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 12603532216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660410240).

12603532216 is an abundant number, since it is smaller than the sum of its proper divisors (14717288264).

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

12603532216 is a wasteful number, since it uses less digits than its factorization.

12603532216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7564 (or 7560 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 12603532216 in words is "twelve billion, six hundred three million, five hundred thirty-two thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1367 1496 2734 5468 6163 10936 12326 15037 23239 24652 30074 46478 49304 60148 67793 92956 104771 120296 135586 185912 209542 255629 271172 419084 511258 542344 838168 1022516 1152481 2045032 2304962 4609924 8424821 9219848 16849642 33699284 67398568 92673031 143221957 185346062 286443914 370692124 572887828 741384248 1145775656 1575441527 3150883054 6301766108 12603532216