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42187078860 = 22352353210883
BaseRepresentation
bin100111010010100010…
…111011110011001100
311000220002102122200020
4213102202323303030
51142344343010420
631214103302140
73022302153003
oct472242736314
9130802378606
1042187078860
1116989562833
12821444a950
133c9420b874
142082c43c3a
15116da00340
hex9d28bbccc

42187078860 has 144 divisors (see below), whose sum is σ = 125640716544. Its totient is φ = 10556758784.

The previous prime is 42187078859. The next prime is 42187078867. The reversal of 42187078860 is 6887078124.

It is not an unprimeable number, because it can be changed into a prime (42187078867) 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 47 ways as a sum of consecutive naturals, for example, 3870979 + ... + 3881861.

It is an arithmetic number, because the mean of its divisors is an integer number (872504976).

Almost surely, 242187078860 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 42187078860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62820358272).

42187078860 is an abundant number, since it is smaller than the sum of its proper divisors (83453637684).

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

42187078860 is a wasteful number, since it uses less digits than its factorization.

42187078860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11024 (or 10969 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The spelling of 42187078860 in words is "forty-two billion, one hundred eighty-seven million, seventy-eight thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 53 60 69 92 106 115 138 159 212 230 265 276 318 345 460 530 636 690 795 1060 1219 1380 1590 2438 2809 3180 3657 4876 5618 6095 7314 8427 10883 11236 12190 14045 14628 16854 18285 21766 24380 28090 32649 33708 36570 42135 43532 54415 56180 64607 65298 73140 84270 108830 129214 130596 163245 168540 193821 217660 250309 258428 323035 326490 387642 500618 576799 646070 652980 750927 775284 969105 1001236 1153598 1251545 1292140 1501854 1730397 1938210 2307196 2503090 2883995 3003708 3460794 3754635 3876420 5006180 5767990 6921588 7509270 8651985 11535980 13266377 15018540 17303970 26532754 30570347 34607940 39799131 53065508 61140694 66331885 79598262 91711041 122281388 132663770 152851735 159196524 183422082 198995655 265327540 305703470 366844164 397991310 458555205 611406940 703117981 795982620 917110410 1406235962 1834220820 2109353943 2812471924 3515589905 4218707886 7031179810 8437415772 10546769715 14062359620 21093539430 42187078860