Search a number
-
+
13525440152 = 2372953157141
BaseRepresentation
bin11001001100010110…
…11101011010011000
31021220121111112211212
430212023131122120
5210200003041102
610114041042252
7656113226060
oct144613353230
937817445755
1013525440152
115810838414
122755786388
1313771c3433
149244643a0
15542642c52
hex3262dd698

13525440152 has 64 divisors (see below), whose sum is σ = 30548404800. Its totient is φ = 5491100160.

The previous prime is 13525440143. The next prime is 13525440179. The reversal of 13525440152 is 25104452531.

13525440152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 7502 + ... + 164642.

It is an arithmetic number, because the mean of its divisors is an integer number (477318825).

Almost surely, 213525440152 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 13525440152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15274202400).

13525440152 is an abundant number, since it is smaller than the sum of its proper divisors (17022964648).

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

13525440152 is a wasteful number, since it uses less digits than its factorization.

13525440152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157236 (or 157232 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 13525440152 its reverse (25104452531), we get a palindrome (38629892683).

The spelling of 13525440152 in words is "thirteen billion, five hundred twenty-five million, four hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 29 53 56 58 106 116 203 212 232 371 406 424 742 812 1484 1537 1624 2968 3074 6148 10759 12296 21518 43036 86072 157141 314282 628564 1099987 1257128 2199974 4399948 4557089 8328473 8799896 9114178 16656946 18228356 31899623 33313892 36456712 58299311 63799246 66627784 116598622 127598492 233197244 241525717 255196984 466394488 483051434 966102868 1690680019 1932205736 3381360038 6762720076 13525440152