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29760086545 = 572533322777
BaseRepresentation
bin11011101101110101…
…101110001000010001
32211211000212000222121
4123231311232020101
5441422040232140
621401021534241
72102324363500
oct335565561021
984730760877
1029760086545
111169187a552
125926714381
132a63774787
141624636837
15b92a3864a
hex6edd6e211

29760086545 has 24 divisors (see below), whose sum is σ = 41552265384. Its totient is φ = 20402194176.

The previous prime is 29760086539. The next prime is 29760086563. The reversal of 29760086545 is 54568006792.

It can be written as a sum of positive squares in 4 ways, for example, as 18839209536 + 10920877009 = 137256^2 + 104503^2 .

It is not a de Polignac number, because 29760086545 - 27 = 29760086417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 29760086492 and 29760086501.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1295197 + ... + 1317973.

It is an arithmetic number, because the mean of its divisors is an integer number (1731344391).

Almost surely, 229760086545 is an apocalyptic number.

It is an amenable number.

29760086545 is a deficient number, since it is larger than the sum of its proper divisors (11792178839).

29760086545 is a wasteful number, since it uses less digits than its factorization.

29760086545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28129 (or 28122 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 29760086545 in words is "twenty-nine billion, seven hundred sixty million, eighty-six thousand, five hundred forty-five".

Divisors: 1 5 7 35 49 245 5333 22777 26665 37331 113885 159439 186655 261317 797195 1116073 1306585 5580365 121469741 607348705 850288187 4251440935 5952017309 29760086545