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132838538763 = 3725926358237
BaseRepresentation
bin111101110110111001…
…0110011111000001011
3110200212202010221210010
41323231302303320023
54134023131220023
6141005234523003
712411601643400
oct1735562637013
9420782127703
10132838538763
115137798a337
12218b3436463
13c6acca6478
1466024822a7
1536c7162093
hex1eedcb3e0b

132838538763 has 48 divisors (see below), whose sum is σ = 210327701760. Its totient is φ = 74336157504.

The previous prime is 132838538761. The next prime is 132838538821. The reversal of 132838538763 is 367835838231.

It is not a de Polignac number, because 132838538763 - 21 = 132838538761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132838538761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2251881 + ... + 2310117.

It is an arithmetic number, because the mean of its divisors is an integer number (4381827120).

Almost surely, 2132838538763 is an apocalyptic number.

132838538763 is a deficient number, since it is larger than the sum of its proper divisors (77489162997).

132838538763 is a wasteful number, since it uses less digits than its factorization.

132838538763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58576 (or 58569 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 57.

The spelling of 132838538763 in words is "one hundred thirty-two billion, eight hundred thirty-eight million, five hundred thirty-eight thousand, seven hundred sixty-three".

Divisors: 1 3 7 21 49 59 147 177 263 413 789 1239 1841 2891 5523 8673 12887 15517 38661 46551 58237 108619 174711 325857 407659 760333 1222977 2280999 2853613 3435983 8560839 10307949 15316331 24051881 45948993 72155643 107214317 168363167 321642951 505089501 750500219 903663529 2251500657 2710990587 6325644703 18976934109 44279512921 132838538763