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32424412020 = 2235711133714591
BaseRepresentation
bin11110001100101001…
…010100001101110100
310002200201020210102220
4132030221110031310
51012401122141040
622521235402340
72225335645320
oct361451241564
9102621223386
1032424412020
111282980a730
12634aa533b0
13309974a420
1417d8420980
15c9b8c32d0
hex78ca54374

32424412020 has 384 divisors, whose sum is σ = 125200760832. Its totient is φ = 6050764800.

The previous prime is 32424411979. The next prime is 32424412049. The reversal of 32424412020 is 2021442423.

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 127 ways as a sum of consecutive naturals, for example, 2214925 + ... + 2229515.

It is an arithmetic number, because the mean of its divisors is an integer number (326043648).

Almost surely, 232424412020 is an apocalyptic number.

32424412020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32424412020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62600380416).

32424412020 is an abundant number, since it is smaller than the sum of its proper divisors (92776348812).

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

32424412020 is a wasteful number, since it uses less digits than its factorization.

32424412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14671 (or 14669 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 32424412020 its reverse (2021442423), we get a palindrome (34445854443).

It can be divided in two parts, 32424 and 412020, that added together give a palindrome (444444).

The spelling of 32424412020 in words is "thirty-two billion, four hundred twenty-four million, four hundred twelve thousand, twenty".