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13334334432 = 253154390019
BaseRepresentation
bin11000110101100100…
…11100101111100000
31021102021220101002020
430122302130233200
5204302042200212
610043053021440
7651302654406
oct143262345740
937367811066
1013334334432
11572297a901
122701784880
131346731623
14906d19476
15530993d8c
hex31ac9cbe0

13334334432 has 48 divisors (see below), whose sum is σ = 35025701760. Its totient is φ = 4441848192.

The previous prime is 13334334407. The next prime is 13334334437. The reversal of 13334334432 is 23443343331.

13334334432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 13334334393 and 13334334402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13334334437) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 103119 + ... + 193137.

It is an arithmetic number, because the mean of its divisors is an integer number (729702120).

Almost surely, 213334334432 is an apocalyptic number.

13334334432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13334334432 is an abundant number, since it is smaller than the sum of its proper divisors (21691367328).

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

13334334432 is a wasteful number, since it uses less digits than its factorization.

13334334432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91575 (or 91567 counting only the distinct ones).

The product of its digits is 93312, while the sum is 33.

Adding to 13334334432 its reverse (23443343331), we get a palindrome (36777677763).

The spelling of 13334334432 in words is "thirteen billion, three hundred thirty-four million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1543 3086 4629 6172 9258 12344 18516 24688 37032 49376 74064 90019 148128 180038 270057 360076 540114 720152 1080228 1440304 2160456 2880608 4320912 8641824 138899317 277798634 416697951 555597268 833395902 1111194536 1666791804 2222389072 3333583608 4444778144 6667167216 13334334432