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12533411433521 = 1112133907240421
BaseRepresentation
bin1011011001100010100110…
…0010010100110000110001
31122101011220222210111102202
42312120221202110300301
53120321411311333041
642353434132152545
72432336422255136
oct266305142246061
948334828714382
1012533411433521
113aa2432010880
1214a5086168755
136cbb848cc764
1431489835258d
1516b051de2a9b
hexb6629894c31

12533411433521 has 16 divisors (see below), whose sum is σ = 13687643755968. Its totient is φ = 11381655902400.

The previous prime is 12533411433451. The next prime is 12533411433577.

It is a happy number.

12533411433521 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12533411433521 - 230 = 12532337691697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12533411433421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52010891 + ... + 52251311.

It is an arithmetic number, because the mean of its divisors is an integer number (855477734748).

Almost surely, 212533411433521 is an apocalyptic number.

12533411433521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12533411433521 is a deficient number, since it is larger than the sum of its proper divisors (1154232322447).

12533411433521 is a wasteful number, since it uses less digits than its factorization.

12533411433521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245552.

The product of its digits is 129600, while the sum is 38.

It can be divided in two parts, 1253341 and 1433521, that added together give a palindrome (2686862).

The spelling of 12533411433521 in words is "twelve trillion, five hundred thirty-three billion, four hundred eleven million, four hundred thirty-three thousand, five hundred twenty-one".

Divisors: 1 11 1213 3907 13343 42977 240421 2644631 4739191 52131101 291630673 939324847 3207937403 10332573317 1139401039411 12533411433521