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132364463231 = 71113285146381
BaseRepresentation
bin111101101000110001…
…0010110110001111111
3110122122201002102102002
41323101202112301333
54132040300310411
6140450221452515
712364054242110
oct1732142266177
9418581072362
10132364463231
115115431a380
12217a071113b
13c6359ca2c0
146599518207
15369a71a33b
hex1ed1896c7f

132364463231 has 32 divisors (see below), whose sum is σ = 177786287616. Its totient is φ = 95171760000.

The previous prime is 132364463149. The next prime is 132364463239.

132364463231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 132364463231 - 210 = 132364462207 is a prime.

It is a super-2 number, since 2×1323644632312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132364463239) 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, 2830661 + ... + 2877041.

It is an arithmetic number, because the mean of its divisors is an integer number (5555821488).

Almost surely, 2132364463231 is an apocalyptic number.

132364463231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132364463231 is a deficient number, since it is larger than the sum of its proper divisors (45421824385).

132364463231 is a wasteful number, since it uses less digits than its factorization.

132364463231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49263.

The product of its digits is 186624, while the sum is 38.

It can be divided in two parts, 132364 and 463231, that added together give a palindrome (595595).

The spelling of 132364463231 in words is "one hundred thirty-two billion, three hundred sixty-four million, four hundred sixty-three thousand, two hundred thirty-one".

Divisors: 1 7 11 13 77 91 143 1001 2851 19957 31361 37063 46381 219527 259441 324667 407693 510191 602953 2853851 3571337 4220671 6632483 46427381 132232231 925625617 1454554541 1719019003 10181881787 12033133021 18909209033 132364463231