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84235309704 = 233271337477393
BaseRepresentation
bin100111001110011010…
…0001101001010001000
322001102111121002200100
41032130310031022020
52340003214402304
6102410331005400
76041300214210
oct1163464151210
9261374532610
1084235309704
11327a66aaa37
12143aa299860
137c35724530
144111463240
1522d0225439
hex139cd0d288

84235309704 has 384 divisors, whose sum is σ = 294548567040. Its totient is φ = 21152710656.

The previous prime is 84235309673. The next prime is 84235309721. The reversal of 84235309704 is 40790353248.

84235309704 is a `hidden beast` number, since 8 + 4 + 23 + 530 + 97 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 84235309704.

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, 11390232 + ... + 11397624.

It is an arithmetic number, because the mean of its divisors is an integer number (767053560).

Almost surely, 284235309704 is an apocalyptic number.

84235309704 is a gapful number since it is divisible by the number (84) 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 84235309704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147274283520).

84235309704 is an abundant number, since it is smaller than the sum of its proper divisors (210313257336).

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

84235309704 is a wasteful number, since it uses less digits than its factorization.

84235309704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7509 (or 7502 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 84235309704 in words is "eighty-four billion, two hundred thirty-five million, three hundred nine thousand, seven hundred four".