Search a number
-
+
13031603928 = 23327131919603
BaseRepresentation
bin11000010001011111…
…00111111011011000
31020122012021001220100
430020233213323120
5203142042311203
65553040255400
7640635543240
oct141057477330
936565231810
1013031603928
115588000a02
122638311560
1312c8ab8a55
148b8a34b20
155140e5ea3
hex308be7ed8

13031603928 has 96 divisors (see below), whose sum is σ = 40368556800. Its totient is φ = 3720302784.

The previous prime is 13031603927. The next prime is 13031603947. The reversal of 13031603928 is 82930613031.

13031603928 is a `hidden beast` number, since 13 + 0 + 31 + 603 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13031603892 and 13031603901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031603927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 654975 + ... + 674577.

It is an arithmetic number, because the mean of its divisors is an integer number (420505800).

Almost surely, 213031603928 is an apocalyptic number.

13031603928 is a gapful number since it is divisible by the number (18) 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 13031603928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20184278400).

13031603928 is an abundant number, since it is smaller than the sum of its proper divisors (27336952872).

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

13031603928 is a wasteful number, since it uses less digits than its factorization.

13031603928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20941 (or 20934 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13031603928 in words is "thirteen billion, thirty-one million, six hundred three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1319 2638 3957 5276 7914 9233 10552 11871 15828 18466 19603 23742 27699 31656 36932 39206 47484 55398 58809 73864 78412 83097 94968 110796 117618 137221 156824 166194 176427 221592 235236 274442 332388 352854 411663 470472 548884 664776 705708 823326 1097768 1234989 1411416 1646652 2469978 3293304 4939956 9879912 25856357 51712714 77569071 103425428 155138142 180994499 206850856 232707213 310276284 361988998 465414426 542983497 620552568 723977996 930828852 1085966994 1447955992 1628950491 1861657704 2171933988 3257900982 4343867976 6515801964 13031603928