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13248319812 = 22371334734963
BaseRepresentation
bin11000101011010100…
…10101000101000100
31021012022001101012120
430111222111011010
5204113032213222
610030341245540
7646206601050
oct142552250504
937168041176
1013248319812
115689370842
122698a038b0
1313319766c0
148d9728c60
1552815315c
hex315a95144

13248319812 has 96 divisors (see below), whose sum is σ = 38157192192. Its totient is φ = 3483893376.

The previous prime is 13248319801. The next prime is 13248319817. The reversal of 13248319812 is 21891384231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13248319817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361443 + ... + 396405.

It is an arithmetic number, because the mean of its divisors is an integer number (397470752).

Almost surely, 213248319812 is an apocalyptic number.

13248319812 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 13248319812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19078596096).

13248319812 is an abundant number, since it is smaller than the sum of its proper divisors (24908872380).

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

13248319812 is a wasteful number, since it uses less digits than its factorization.

13248319812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35337 (or 35335 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The spelling of 13248319812 in words is "thirteen billion, two hundred forty-eight million, three hundred nineteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 347 364 546 694 1041 1092 1388 2082 2429 4164 4511 4858 7287 9022 9716 13533 14574 18044 27066 29148 31577 34963 54132 63154 69926 94731 104889 126308 139852 189462 209778 244741 378924 419556 454519 489482 734223 909038 978964 1363557 1468446 1818076 2727114 2936892 3181633 5454228 6363266 9544899 12132161 12726532 19089798 24264322 36396483 38179596 48528644 72792966 84925127 145585932 157718093 169850254 254775381 315436186 339700508 473154279 509550762 630872372 946308558 1019101524 1104026651 1892617116 2208053302 3312079953 4416106604 6624159906 13248319812