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32064709824 = 2632737920983
BaseRepresentation
bin11101110111001101…
…001010010011000000
310001202122102000210100
4131313031022103000
51011132031203244
622421430002400
72213410352010
oct356715122300
9101678360710
1032064709824
1112664769094
12626a4a6400
1330400780a4
1417a2749c40
15c7a01eb69
hex77734a4c0

32064709824 has 168 divisors, whose sum is σ = 105319535360. Its totient is φ = 9136737792.

The previous prime is 32064709771. The next prime is 32064709829. The reversal of 32064709824 is 42890746023.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×320647098242 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32064709824.

It is not an unprimeable number, because it can be changed into a prime (32064709829) 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 23 ways as a sum of consecutive naturals, for example, 1517637 + ... + 1538619.

Almost surely, 232064709824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32064709824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52659767680).

32064709824 is an abundant number, since it is smaller than the sum of its proper divisors (73254825536).

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

32064709824 is a wasteful number, since it uses less digits than its factorization.

32064709824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21387 (or 21374 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 32064709824 in words is "thirty-two billion, sixty-four million, seven hundred nine thousand, eight hundred twenty-four".