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132439949929 = 7610612
BaseRepresentation
bin111101101011000001…
…0010100001001101001
3110122211222010112200201
41323112002110021221
54132214111344204
6140501515432201
712365662000000
oct1732602241151
9418758115621
10132439949929
1151192998681
1221801a55661
13c64853a2a1
1465a5567c37
1536a217b9a4
hex1ed6094269

132439949929 has 21 divisors (see below), whose sum is σ = 154658854231. Its totient is φ = 113412963720.

The previous prime is 132439949927. The next prime is 132439949989. The reversal of 132439949929 is 929949934231.

It is a happy number.

The square root of 132439949929 is 363923.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 87215674329 + 45224275600 = 295323^2 + 212660^2 .

It is not a de Polignac number, because 132439949929 - 21 = 132439949927 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132439949927) 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 20 ways as a sum of consecutive naturals, for example, 124825059 + ... + 124826119.

Almost surely, 2132439949929 is an apocalyptic number.

132439949929 is the 363923-rd square number.

132439949929 is the 181962-nd centered octagonal number.

It is an amenable number.

132439949929 is a deficient number, since it is larger than the sum of its proper divisors (22218904302).

132439949929 is an frugal number, since it uses more digits than its factorization.

132439949929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 1068 counting only the distinct ones).

The product of its digits is 34012224, while the sum is 64.

Multiplying 132439949929 by its sum of digits (64), we get a square (8476156795456 = 29113842).

The spelling of 132439949929 in words is "one hundred thirty-two billion, four hundred thirty-nine million, nine hundred forty-nine thousand, nine hundred twenty-nine".

Divisors: 1 7 49 343 1061 2401 7427 16807 51989 117649 363923 1125721 2547461 7880047 17832227 55160329 124825589 386122303 2702856121 18919992847 132439949929