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13433322432 = 263103967339
BaseRepresentation
bin11001000001011000…
…00011101111000000
31021200012011111002110
430200230003233000
5210002412304212
610100550415320
7653614233225
oct144054035700
937605144073
1013433322432
11577383aa72
12272a961540
1313610ac5ca
1491612594c
155394e8a3c
hex320b03bc0

13433322432 has 56 divisors (see below), whose sum is σ = 35577068800. Its totient is φ = 4473398016.

The previous prime is 13433322403. The next prime is 13433322433. The reversal of 13433322432 is 23422333431.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13433322432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13433322433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165819 + ... + 233157.

It is an arithmetic number, because the mean of its divisors is an integer number (635304800).

Almost surely, 213433322432 is an apocalyptic number.

13433322432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13433322432 is an abundant number, since it is smaller than the sum of its proper divisors (22143746368).

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

13433322432 is a wasteful number, since it uses less digits than its factorization.

13433322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68393 (or 68383 counting only the distinct ones).

The product of its digits is 31104, while the sum is 30.

Adding to 13433322432 its reverse (23422333431), we get a palindrome (36855655863).

The spelling of 13433322432 in words is "thirteen billion, four hundred thirty-three million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1039 2078 3117 4156 6234 8312 12468 16624 24936 33248 49872 66496 67339 99744 134678 199488 202017 269356 404034 538712 808068 1077424 1616136 2154848 3232272 4309696 6464544 12929088 69965221 139930442 209895663 279860884 419791326 559721768 839582652 1119443536 1679165304 2238887072 3358330608 4477774144 6716661216 13433322432