Search a number
-
+
84366266880 = 293572331271
BaseRepresentation
bin100111010010010011…
…1110001001000000000
322001202122000102011010
41032210213301020000
52340240231020010
6102431325520520
76044450302440
oct1164447611000
9261678012133
1084366266880
1132863616005
1214426113140
137c568b689c
1441249d2120
1522db992620
hex13a49f1200

84366266880 has 960 divisors, whose sum is σ = 337031000064. Its totient is φ = 17598873600.

The previous prime is 84366266863. The next prime is 84366266917. The reversal of 84366266880 is 8866266348.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 84366266880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1188257245 + ... + 1188257315.

Almost surely, 284366266880 is an apocalyptic number.

84366266880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84366266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168515500032).

84366266880 is an abundant number, since it is smaller than the sum of its proper divisors (252664733184).

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

84366266880 is a wasteful number, since it uses less digits than its factorization.

84366266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 84366266880 in words is "eighty-four billion, three hundred sixty-six million, two hundred sixty-six thousand, eight hundred eighty".