Search a number
-
+
13533254112 = 2537127158573
BaseRepresentation
bin11001001101010010…
…10001000111100000
31021221011012112120210
430212221101013200
5210204003112422
610114520334120
7656236522230
oct144651210740
937834175523
1013533254112
115815195134
122758314340
1313789cac91
149254d9cc0
1554318810c
hex326a511e0

13533254112 has 96 divisors (see below), whose sum is σ = 40919703552. Its totient is φ = 3836173824.

The previous prime is 13533254093. The next prime is 13533254113. The reversal of 13533254112 is 21145233531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 13533254112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13533254113) 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, 6058 + ... + 164630.

It is an arithmetic number, because the mean of its divisors is an integer number (426246912).

Almost surely, 213533254112 is an apocalyptic number.

13533254112 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 13533254112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20459851776).

13533254112 is an abundant number, since it is smaller than the sum of its proper divisors (27386449440).

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

13533254112 is a wasteful number, since it uses less digits than its factorization.

13533254112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158720 (or 158712 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

Adding to 13533254112 its reverse (21145233531), we get a palindrome (34678487643).

The spelling of 13533254112 in words is "thirteen billion, five hundred thirty-three million, two hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 127 168 224 254 336 381 508 672 762 889 1016 1524 1778 2032 2667 3048 3556 4064 5334 6096 7112 10668 12192 14224 21336 28448 42672 85344 158573 317146 475719 634292 951438 1110011 1268584 1902876 2220022 2537168 3330033 3805752 4440044 5074336 6660066 7611504 8880088 13320132 15223008 17760176 20138771 26640264 35520352 40277542 53280528 60416313 80555084 106561056 120832626 140971397 161110168 241665252 281942794 322220336 422914191 483330504 563885588 644440672 845828382 966661008 1127771176 1691656764 1933322016 2255542352 3383313528 4511084704 6766627056 13533254112