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132234012032 = 2717295720551
BaseRepresentation
bin111101100100111000…
…0101110010110000000
3110122022121121211000012
41323021300232112000
54131303401341112
6140425241444052
712360611361653
oct1731160562600
9418277554005
10132234012032
115109771a471
1221764aa0628
13c614984345
14658607b89a
15368e04d022
hex1ec9c2e580

132234012032 has 64 divisors (see below), whose sum is σ = 279039025440. Its totient is φ = 62203699200.

The previous prime is 132234011971. The next prime is 132234012047. The reversal of 132234012032 is 230210432231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 132234011989 and 132234012007.

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 7 ways as a sum of consecutive naturals, for example, 6424157 + ... + 6444707.

Almost surely, 2132234012032 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 132234012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139519512720).

132234012032 is an abundant number, since it is smaller than the sum of its proper divisors (146805013408).

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

132234012032 is a wasteful number, since it uses less digits than its factorization.

132234012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23539 (or 23527 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 132234012032 its reverse (230210432231), we get a palindrome (362444444263).

The spelling of 132234012032 in words is "one hundred thirty-two billion, two hundred thirty-four million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 2957 5914 11828 20551 23656 41102 47312 50269 82204 94624 100538 164408 189248 201076 328816 349367 378496 402152 657632 698734 804304 1315264 1397468 1608608 2630528 2794936 3217216 5589872 6434432 11179744 22359488 44718976 60769307 121538614 243077228 486154456 972308912 1033078219 1944617824 2066156438 3889235648 4132312876 7778471296 8264625752 16529251504 33058503008 66117006016 132234012032