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13201452152 = 2372916349871
BaseRepresentation
bin11000100101101111…
…00010110001111000
31021002000212020212022
430102313202301320
5204014032432102
610021544534012
7645100330460
oct142267426170
937060766768
1013201452152
11566496a439
122685181308
131325046c65
148d3408ba0
15523e965a2
hex312de2c78

13201452152 has 64 divisors (see below), whose sum is σ = 29444428800. Its totient is φ = 5429047680.

The previous prime is 13201452107. The next prime is 13201452157. The reversal of 13201452152 is 25125410231.

13201452152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132014521522 (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 (13201452157) 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 15 ways as a sum of consecutive naturals, for example, 239777 + ... + 289647.

It is an arithmetic number, because the mean of its divisors is an integer number (460069200).

Almost surely, 213201452152 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 13201452152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14722214400).

13201452152 is an abundant number, since it is smaller than the sum of its proper divisors (16242976648).

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

13201452152 is a wasteful number, since it uses less digits than its factorization.

13201452152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50076 (or 50072 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 13201452152 its reverse (25125410231), we get a palindrome (38326862383).

The spelling of 13201452152 in words is "thirteen billion, two hundred one million, four hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 163 203 232 326 406 652 812 1141 1304 1624 2282 4564 4727 9128 9454 18908 33089 37816 49871 66178 99742 132356 199484 264712 349097 398968 698194 1396388 1446259 2792776 2892518 5785036 8128973 10123813 11570072 16257946 20247626 32515892 40495252 56902811 65031784 80990504 113805622 227611244 235740217 455222488 471480434 942960868 1650181519 1885921736 3300363038 6600726076 13201452152