Search a number
-
+
67602285216140 = 22531229710966977
BaseRepresentation
bin11110101111011111000100…
…01100100100000110001100
322212100201022111020120001112
433113233202030210012030
532330043440003404030
6355440021110231152
720145050435162453
oct1727574214440614
9285321274216045
1067602285216140
111a5a3a71686724
1276b99386554b8
132b94b394012cc
141299d7a513b9a
157c3755a70a95
hex3d7be232418c

67602285216140 has 96 divisors (see below), whose sum is σ = 147207141849600. Its totient is φ = 26050299125760.

The previous prime is 67602285216139. The next prime is 67602285216241. The reversal of 67602285216140 is 4161258220676.

67602285216140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1009302332 + ... + 1009369308.

It is an arithmetic number, because the mean of its divisors is an integer number (1533407727600).

Almost surely, 267602285216140 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 67602285216140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73603570924800).

67602285216140 is an abundant number, since it is smaller than the sum of its proper divisors (79604856633460).

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

67602285216140 is a wasteful number, since it uses less digits than its factorization.

67602285216140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74355 (or 74353 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 67602285216140 in words is "sixty-seven trillion, six hundred two billion, two hundred eighty-five million, two hundred sixteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 229 310 458 620 916 1145 2290 4580 7099 7109 14198 14218 28396 28436 35495 35545 66977 70990 71090 133954 141980 142180 220379 267908 334885 440758 669770 881516 1101895 1339540 1627961 2076287 2203790 3255922 4152574 4407580 6511844 8139805 8305148 10381435 15337733 16279610 20762870 30675466 32559220 41525740 50466791 61350932 76688665 100933582 153377330 201867164 252333955 306754660 475469723 476139493 504667910 950939446 952278986 1009335820 1901878892 1904557972 2377348615 2380697465 4754697230 4761394930 9509394460 9522789860 14760324283 29520648566 59041297132 73801621415 109035943897 147603242830 218071887794 295206485660 436143775588 545179719485 1090359438970 2180718877940 3380114260807 6760228521614 13520457043228 16900571304035 33801142608070 67602285216140