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42584574435670 = 25292275869110221
BaseRepresentation
bin10011010111010111111100…
…11011101010000101010110
312120210001020012201001120101
421223223332123222011112
521040201202023420140
6230323030004124314
711653430311213051
oct1153537633520526
9176701205631511
1042584574435670
1112629020100683
12493921399669a
131a9b928a1a977
14a7316668ba98
154dcac86de99a
hex26bafe6ea156

42584574435670 has 64 divisors (see below), whose sum is σ = 79659026596800. Its totient is φ = 16371066539520.

The previous prime is 42584574435649. The next prime is 42584574435677. The reversal of 42584574435670 is 7653447548524.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42584574435677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386301160 + ... + 386411380.

It is an arithmetic number, because the mean of its divisors is an integer number (1244672290575).

Almost surely, 242584574435670 is an apocalyptic number.

42584574435670 is a deficient number, since it is larger than the sum of its proper divisors (37074452161130).

42584574435670 is a wasteful number, since it uses less digits than its factorization.

42584574435670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116353.

The product of its (nonzero) digits is 451584000, while the sum is 64.

The spelling of 42584574435670 in words is "forty-two trillion, five hundred eighty-four billion, five hundred seventy-four million, four hundred thirty-five thousand, six hundred seventy".

Divisors: 1 2 5 10 29 58 145 227 290 454 1135 2270 5869 6583 11738 13166 29345 32915 58690 65830 110221 170201 220442 340402 551105 851005 1102210 1332263 1702010 2664526 3196409 6392818 6661315 13322630 15982045 25020167 31964090 38635627 50040334 77271254 125100835 193178135 250201670 386356270 646887049 725584843 1293774098 1451169686 3234435245 3627924215 6468870490 7255848430 18759724421 37519448842 93798622105 146843360123 187597244210 293686720246 734216800615 1468433601230 4258457443567 8516914887134 21292287217835 42584574435670