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13248428232 = 2331353801187
BaseRepresentation
bin11000101011010101…
…01111100011001000
31021012022020212221010
430111222233203020
5204113044200412
610030343443520
7646210532124
oct142552574310
937168225833
1013248428232
115689435246
122698a565a0
1313319b3b60
148d9756584
1552817533c
hex315aaf8c8

13248428232 has 64 divisors (see below), whose sum is σ = 36341887680. Its totient is φ = 3999520512.

The previous prime is 13248428203. The next prime is 13248428267. The reversal of 13248428232 is 23282484231.

13248428232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 384058 + ... + 417129.

It is an arithmetic number, because the mean of its divisors is an integer number (567841995).

Almost surely, 213248428232 is an apocalyptic number.

13248428232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13248428232 is an abundant number, since it is smaller than the sum of its proper divisors (23093459448).

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

13248428232 is a wasteful number, since it uses less digits than its factorization.

13248428232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801262 (or 801258 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The spelling of 13248428232 in words is "thirteen billion, two hundred forty-eight million, four hundred twenty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 212 312 318 424 636 689 1272 1378 2067 2756 4134 5512 8268 16536 801187 1602374 2403561 3204748 4807122 6409496 9614244 10415431 19228488 20830862 31246293 41661724 42462911 62492586 83323448 84925822 124985172 127388733 169851644 249970344 254777466 339703288 509554932 552017843 1019109864 1104035686 1656053529 2208071372 3312107058 4416142744 6624214116 13248428232