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13732021134 = 23213449130699
BaseRepresentation
bin11001100100111111…
…00000001110001110
31022110000012221200100
430302133200032032
5211110344134014
610150340511530
7664202153016
oct146237401616
938400187610
1013732021134
1159074057a7
1227b29ab5a6
1313aac42cc0
14943a7ac46
1555584c009
hex3327e038e

13732021134 has 48 divisors (see below), whose sum is σ = 32112990000. Its totient is φ = 4215794688.

The previous prime is 13732021123. The next prime is 13732021151. The reversal of 13732021134 is 43112023731.

It is a happy number.

13732021134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13732021098 and 13732021107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39717 + ... + 170415.

It is an arithmetic number, because the mean of its divisors is an integer number (669020625).

Almost surely, 213732021134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13732021134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16056495000).

13732021134 is an abundant number, since it is smaller than the sum of its proper divisors (18380968866).

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

13732021134 is a wasteful number, since it uses less digits than its factorization.

13732021134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131169 (or 131166 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 13732021134 its reverse (43112023731), we get a palindrome (56844044865).

The spelling of 13732021134 in words is "thirteen billion, seven hundred thirty-two million, twenty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 449 898 1347 2694 4041 5837 8082 11674 17511 35022 52533 105066 130699 261398 392097 784194 1176291 1699087 2352582 3398174 5097261 10194522 15291783 30583566 58683851 117367702 176051553 352103106 528154659 762890063 1056309318 1525780126 2288670189 4577340378 6866010567 13732021134