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29680381261 = 101376977969
BaseRepresentation
bin11011101001000101…
…101010110101001101
32211121110212120220001
4123221011222311031
5441241134200021
621345053324301
72100336035536
oct335105526515
984543776801
1029680381261
111165088a813
125903a96691
132a500b859b
141617c0968d
15b8aa42091
hex6e916ad4d

29680381261 has 8 divisors (see below), whose sum is σ = 29982583800. Its totient is φ = 29378342400.

The previous prime is 29680381253. The next prime is 29680381309. The reversal of 29680381261 is 16218308692.

It can be written as a sum of positive squares in 4 ways, for example, as 19275157225 + 10405224036 = 138835^2 + 102006^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 29680381261 - 23 = 29680381253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29680381201) 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 7 ways as a sum of consecutive naturals, for example, 341685 + ... + 419653.

It is an arithmetic number, because the mean of its divisors is an integer number (3747822975).

Almost surely, 229680381261 is an apocalyptic number.

It is an amenable number.

29680381261 is a deficient number, since it is larger than the sum of its proper divisors (302202539).

29680381261 is a wasteful number, since it uses less digits than its factorization.

29680381261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81839.

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 29680381261 in words is "twenty-nine billion, six hundred eighty million, three hundred eighty-one thousand, two hundred sixty-one".

Divisors: 1 101 3769 77969 380669 7874869 293865161 29680381261