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13328325432 = 2332895120681
BaseRepresentation
bin11000110100110111…
…00001101100111000
31021101212121002021200
430122123201230320
5204244022403212
610042320134200
7651200616432
oct143233415470
937355532250
1013328325432
11571a546194
1226bb767360
1313454094c6
149061d3652
155301a86dc
hex31a6e1b38

13328325432 has 48 divisors (see below), whose sum is σ = 36103326480. Its totient is φ = 4442064000.

The previous prime is 13328325427. The next prime is 13328325443. The reversal of 13328325432 is 23452382331.

13328325432 is a `hidden beast` number, since 1 + 3 + 32 + 83 + 2 + 543 + 2 = 666.

13328325432 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 (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 634132 + ... + 654812.

It is an arithmetic number, because the mean of its divisors is an integer number (752152635).

Almost surely, 213328325432 is an apocalyptic number.

13328325432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13328325432 is an abundant number, since it is smaller than the sum of its proper divisors (22775001048).

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

13328325432 is a wasteful number, since it uses less digits than its factorization.

13328325432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29644 (or 29637 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 13328325432 in words is "thirteen billion, three hundred twenty-eight million, three hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 8951 17902 20681 26853 35804 41362 53706 62043 71608 80559 82724 107412 124086 161118 165448 186129 214824 248172 322236 372258 496344 644472 744516 1489032 185115631 370231262 555346893 740462524 1110693786 1480925048 1666040679 2221387572 3332081358 4442775144 6664162716 13328325432