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42527575300 = 2252739111361
BaseRepresentation
bin100111100110110101…
…110100110100000100
311001202211010122222111
4213212311310310010
51144044024402200
631311545310404
73033605266000
oct474665646404
9131684118874
1042527575300
1117043786851
1282aa495404
134019918152
1420b6159700
15118d85d0ba
hex9e6d74d04

42527575300 has 144 divisors (see below), whose sum is σ = 107818099200. Its totient is φ = 14554176000.

The previous prime is 42527575289. The next prime is 42527575301. The reversal of 42527575300 is 357572524.

42527575300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42527575301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31246620 + ... + 31247980.

It is an arithmetic number, because the mean of its divisors is an integer number (748736800).

Almost surely, 242527575300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42527575300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53909049600).

42527575300 is an abundant number, since it is smaller than the sum of its proper divisors (65290523900).

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

42527575300 is a wasteful number, since it uses less digits than its factorization.

42527575300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 40.

The spelling of 42527575300 in words is "forty-two billion, five hundred twenty-seven million, five hundred seventy-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 911 980 1225 1361 1372 1715 1822 2450 2722 3430 3644 4555 4900 5444 6377 6805 6860 8575 9110 9527 12754 13610 17150 18220 19054 22775 25508 27220 31885 34025 34300 38108 44639 45550 47635 63770 66689 68050 89278 91100 95270 127540 133378 136100 159425 178556 190540 223195 238175 266756 312473 318850 333445 446390 466823 476350 624946 637700 666890 892780 933646 952700 1115975 1239871 1249892 1333780 1562365 1667225 1867292 2231950 2334115 2479742 3124730 3334450 4463900 4668230 4959484 6199355 6249460 6668900 7811825 8679097 9336460 11670575 12398710 15623650 17358194 23341150 24797420 30996775 31247300 34716388 43395485 46682300 60753679 61993550 86790970 121507358 123987100 173581940 216977425 243014716 303768395 425275753 433954850 607536790 850551506 867909700 1215073580 1518841975 1701103012 2126378765 3037683950 4252757530 6075367900 8505515060 10631893825 21263787650 42527575300