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32133052032 = 27383679823
BaseRepresentation
bin11101111011010001…
…110111011010000000
310001221102000011200020
4131323101313122000
51011302030131112
622432310453440
72215200302304
oct357321673200
9101842004606
1032133052032
111269a2a7654
126289364280
133051286173
1417ab859d04
15c8101e48c
hex77b477680

32133052032 has 32 divisors (see below), whose sum is σ = 85353420480. Its totient is φ = 10711017216.

The previous prime is 32133052031. The next prime is 32133052051. The reversal of 32133052032 is 23025033123.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 32133051993 and 32133052011.

It is not an unprimeable number, because it can be changed into a prime (32133052031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41839528 + ... + 41840295.

It is an arithmetic number, because the mean of its divisors is an integer number (2667294390).

Almost surely, 232133052032 is an apocalyptic number.

32133052032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32133052032 is an abundant number, since it is smaller than the sum of its proper divisors (53220368448).

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

32133052032 is an equidigital number, since it uses as much as digits as its factorization.

32133052032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83679840 (or 83679828 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 32133052032 its reverse (23025033123), we get a palindrome (55158085155).

The spelling of 32133052032 in words is "thirty-two billion, one hundred thirty-three million, fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 83679823 167359646 251039469 334719292 502078938 669438584 1004157876 1338877168 2008315752 2677754336 4016631504 5355508672 8033263008 10711017344 16066526016 32133052032