Search a number
-
+
86212420080 = 24351297276961
BaseRepresentation
bin101000001001010101…
…0010010000111110000
322020112021212201020120
41100102222102013300
52403030334420310
6103334435210240
76141265323333
oct1202252220760
9266467781216
1086212420080
1133620733256
1214860446980
13818c216127
14425bc8061a
152398ab5b70
hex1412a921f0

86212420080 has 80 divisors (see below), whose sum is σ = 267465526944. Its totient is φ = 22972170240.

The previous prime is 86212420037. The next prime is 86212420111. The reversal of 86212420080 is 8002421268.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172800 + ... + 449760.

Almost surely, 286212420080 is an apocalyptic number.

86212420080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86212420080 is an abundant number, since it is smaller than the sum of its proper divisors (181253106864).

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

86212420080 is a wasteful number, since it uses less digits than its factorization.

86212420080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278274 (or 278268 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 86212420080 in words is "eighty-six billion, two hundred twelve million, four hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1297 2594 3891 5188 6485 7782 10376 12970 15564 19455 20752 25940 31128 38910 51880 62256 77820 103760 155640 276961 311280 553922 830883 1107844 1384805 1661766 2215688 2769610 3323532 4154415 4431376 5539220 6647064 8308830 11078440 13294128 16617660 22156880 33235320 66470640 359218417 718436834 1077655251 1436873668 1796092085 2155310502 2873747336 3592184170 4310621004 5388276255 5747494672 7184368340 8621242008 10776552510 14368736680 17242484016 21553105020 28737473360 43106210040 86212420080