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82430000235 = 32511198764487
BaseRepresentation
bin100110011000100110…
…1011111110001101011
321212202200120212122200
41030301031133301223
52322304040001420
6101511240551243
75645456304252
oct1146115376153
9255680525580
1082430000235
1131a5a64a240
1213b85782523
137a086c588b
143dbd7a7799
1522269bdb90
hex133135fc6b

82430000235 has 48 divisors (see below), whose sum is σ = 164071215360. Its totient is φ = 37862579520.

The previous prime is 82430000203. The next prime is 82430000269. The reversal of 82430000235 is 53200003428.

It is not a de Polignac number, because 82430000235 - 25 = 82430000203 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82430000199 and 82430000208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4372839 + ... + 4391648.

It is an arithmetic number, because the mean of its divisors is an integer number (3418150320).

Almost surely, 282430000235 is an apocalyptic number.

82430000235 is a deficient number, since it is larger than the sum of its proper divisors (81641215125).

82430000235 is a wasteful number, since it uses less digits than its factorization.

82430000235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8764528 (or 8764525 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 82430000235 in words is "eighty-two billion, four hundred thirty million, two hundred thirty-five", and thus it is an aban number.

Divisors: 1 3 5 9 11 15 19 33 45 55 57 95 99 165 171 209 285 495 627 855 1045 1881 3135 9405 8764487 26293461 43822435 78880383 96409357 131467305 166525253 289228071 394401915 482046785 499575759 832626265 867684213 1446140355 1498727277 1831777783 2497878795 4338421065 5495333349 7493636385 9158888915 16486000047 27476666745 82430000235