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58429268625 = 3537131712213
BaseRepresentation
bin110110011010101001…
…111110001010010001
312120211000222101101010
4312122221332022101
51424130343044000
642501514001133
74135634405640
oct663251761221
9176730871333
1058429268625
1122863887362
12b3a7a161a9
135682201540
142b8401b357
1517be8d5d50
hexd9aa7e291

58429268625 has 64 divisors (see below), whose sum is σ = 119663212032. Its totient is φ = 24655852800.

The previous prime is 58429268621. The next prime is 58429268641. The reversal of 58429268625 is 52686292485.

It is not a de Polignac number, because 58429268625 - 22 = 58429268621 is a prime.

It is not an unprimeable number, because it can be changed into a prime (58429268621) 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 63 ways as a sum of consecutive naturals, for example, 821982 + ... + 890231.

It is an arithmetic number, because the mean of its divisors is an integer number (1869737688).

Almost surely, 258429268625 is an apocalyptic number.

It is an amenable number.

58429268625 is an abundant number, since it is smaller than the sum of its proper divisors (61233943407).

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

58429268625 is a wasteful number, since it uses less digits than its factorization.

58429268625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712251 (or 1712241 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 57.

The spelling of 58429268625 in words is "fifty-eight billion, four hundred twenty-nine million, two hundred sixty-eight thousand, six hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 125 175 195 273 325 375 455 525 875 975 1365 1625 2275 2625 4875 6825 11375 34125 1712213 5136639 8561065 11985491 22258769 25683195 35956473 42805325 59927455 66776307 111293845 128415975 155811383 179782365 214026625 299637275 333881535 467434149 556469225 642079875 779056915 898911825 1498186375 1669407675 2337170745 2782346125 3895284575 4494559125 8347038375 11685853725 19476422875 58429268625