Search a number
-
+
84275193366 = 234713231991249
BaseRepresentation
bin100111001111100110…
…0010110011000010110
322001112021122101210000
41032133030112120112
52340043422141431
6102414313512130
76042263216130
oct1163714263026
9261467571700
1084275193366
1132817171141
12143bb712646
137c40a7a130
144116886050
1522d39a29e6
hex139f316616

84275193366 has 320 divisors, whose sum is σ = 243936000000. Its totient is φ = 21136287744.

The previous prime is 84275193341. The next prime is 84275193403. The reversal of 84275193366 is 66339157248.

84275193366 is a `hidden beast` number, since 8 + 4 + 275 + 1 + 9 + 3 + 366 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 67473510 + ... + 67474758.

It is an arithmetic number, because the mean of its divisors is an integer number (762300000).

Almost surely, 284275193366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84275193366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121968000000).

84275193366 is an abundant number, since it is smaller than the sum of its proper divisors (159660806634).

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

84275193366 is a wasteful number, since it uses less digits than its factorization.

84275193366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1496 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 84275193366 in words is "eighty-four billion, two hundred seventy-five million, one hundred ninety-three thousand, three hundred sixty-six".