Search a number
-
+
12533621152 = 2513293102829
BaseRepresentation
bin10111010110000111…
…11110000110100000
31012100111012220221211
423223003332012200
5201132101334102
65431410555504
7622411010353
oct135303760640
935314186854
1012533621152
1153519a2098
122519598b94
13124988bba0
1486c84629a
154d552a7d7
hex2eb0fe1a0

12533621152 has 48 divisors (see below), whose sum is σ = 26664641640. Its totient is φ = 5764948992.

The previous prime is 12533621143. The next prime is 12533621153. The reversal of 12533621152 is 25112633521.

12533621152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9762230416 + 2771390736 = 98804^2 + 52644^2 .

It is not an unprimeable number, because it can be changed into a prime (12533621153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70474 + ... + 173302.

Almost surely, 212533621152 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 12533621152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332320820).

12533621152 is an abundant number, since it is smaller than the sum of its proper divisors (14131020488).

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

12533621152 is a wasteful number, since it uses less digits than its factorization.

12533621152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103145 (or 103137 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The spelling of 12533621152 in words is "twelve billion, five hundred thirty-three million, six hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 293 416 586 1172 2344 3809 4688 7618 9376 15236 30472 60944 102829 121888 205658 411316 822632 1336777 1645264 2673554 3290528 5347108 10694216 21388432 30128897 42776864 60257794 120515588 241031176 391675661 482062352 783351322 964124704 1566702644 3133405288 6266810576 12533621152