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132304524560 = 24513127215889
BaseRepresentation
bin111101100110111110…
…1101101010100010000
3110122111112022020000022
41323031331231110100
54131424424241220
6140440241043012
712362425621565
oct1731575552420
9418445266008
10132304524560
115112350058a
1221784626468
13c626472230
14659159486c
15369532a925
hex1ecdf6d510

132304524560 has 40 divisors (see below), whose sum is σ = 331270177560. Its totient is φ = 48850900992.

The previous prime is 132304524553. The next prime is 132304524563. The reversal of 132304524560 is 65425403231.

132304524560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 250778896 + 132053745664 = 15836^2 + 363392^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 132304524560.

It is not an unprimeable number, because it can be changed into a prime (132304524563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63606905 + ... + 63608984.

It is an arithmetic number, because the mean of its divisors is an integer number (8281754439).

Almost surely, 2132304524560 is an apocalyptic number.

132304524560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132304524560 is an abundant number, since it is smaller than the sum of its proper divisors (198965653000).

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

132304524560 is a wasteful number, since it uses less digits than its factorization.

132304524560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127215915 (or 127215909 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 132304524560 its reverse (65425403231), we get a palindrome (197729927791).

The spelling of 132304524560 in words is "one hundred thirty-two billion, three hundred four million, five hundred twenty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 127215889 254431778 508863556 636079445 1017727112 1272158890 1653806557 2035454224 2544317780 3307613114 5088635560 6615226228 8269032785 10177271120 13230452456 16538065570 26460904912 33076131140 66152262280 132304524560