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13149429132 = 2237613317753
BaseRepresentation
bin11000011111100010…
…00101110110001100
31020221101222012200210
430033301011312030
5203412223213012
610012445522420
7643566206040
oct141761056614
936841865623
1013149429132
115638567804
12266b873410
131317330ac8
148ca546020
1551e61c23c
hex30fc45d8c

13149429132 has 96 divisors (see below), whose sum is σ = 35752267264. Its totient is φ = 3683750400.

The previous prime is 13149429113. The next prime is 13149429151. The reversal of 13149429132 is 23192494131.

13149429132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13149429113) and next prime (13149429151).

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 31 ways as a sum of consecutive naturals, for example, 1692168 + ... + 1699920.

Almost surely, 213149429132 is an apocalyptic number.

13149429132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13149429132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17876133632).

13149429132 is an abundant number, since it is smaller than the sum of its proper divisors (22602838132).

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

13149429132 is a wasteful number, since it uses less digits than its factorization.

13149429132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8159 (or 8157 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The spelling of 13149429132 in words is "thirteen billion, one hundred forty-nine million, four hundred twenty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 331 366 427 662 732 854 993 1281 1324 1708 1986 2317 2562 3972 4634 5124 6951 7753 9268 13902 15506 20191 23259 27804 31012 40382 46518 54271 60573 80764 93036 108542 121146 141337 162813 217084 242292 282674 325626 424011 472933 565348 651252 848022 945866 1418799 1696044 1891732 2566243 2837598 3310531 5132486 5675196 6621062 7698729 9931593 10264972 13242124 15397458 17963701 19863186 30794916 35927402 39726372 53891103 71854804 107782206 156540823 215564412 313081646 469622469 626163292 939244938 1095785761 1878489876 2191571522 3287357283 4383143044 6574714566 13149429132