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12532400423521 = 1117831077546243
BaseRepresentation
bin1011011001011110110101…
…0001101000001001100001
31122101002022112101212102221
42312113231101220021201
53120312324002023041
642353145534511041
72432302364650126
oct266275521501141
948332275355387
1012532400423521
113aa1a63358020
1214a4a43665481
136cba533090a4
143147ddd7a74d
1516aee32892d1
hexb65ed468261

12532400423521 has 32 divisors (see below), whose sum is σ = 14787257522688. Its totient is φ = 10494709674240.

The previous prime is 12532400423507. The next prime is 12532400423651.

12532400423521 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12532400423521 - 225 = 12532366869089 is a prime.

It is a super-2 number, since 2×125324004235212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12532400420521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2112375 + ... + 5433868.

It is an arithmetic number, because the mean of its divisors is an integer number (462101797584).

Almost surely, 212532400423521 is an apocalyptic number.

12532400423521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12532400423521 is a deficient number, since it is larger than the sum of its proper divisors (2254857099167).

12532400423521 is a wasteful number, since it uses less digits than its factorization.

12532400423521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7546461.

The product of its (nonzero) digits is 57600, while the sum is 34.

It can be divided in two parts, 12532400 and 423521, that added together give a palindrome (12955921).

The spelling of 12532400423521 in words is "twelve trillion, five hundred thirty-two billion, four hundred million, four hundred twenty-three thousand, five hundred twenty-one".

Divisors: 1 11 17 83 107 187 913 1177 1411 1819 8881 15521 20009 97691 150977 1660747 7546243 83008673 128286131 626338169 807448001 1411147441 6889719859 8881928011 10647748873 13726616017 67018184083 117125237603 150992776187 737200024913 1139309129411 12532400423521