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84336494976 = 2734312571021
BaseRepresentation
bin100111010001011011…
…0001100100110000000
322001200112222211210000
41032202312030212000
52340210120314401
6102424343440000
76043636244046
oct1164266144600
9261615884700
1084336494976
1132848830a28
1214418156000
137c50691686
144120a82396
1522d9061186
hex13a2d8c980

84336494976 has 320 divisors, whose sum is σ = 260343135360. Its totient is φ = 27072921600.

The previous prime is 84336494969. The next prime is 84336494989. The reversal of 84336494976 is 67949463348.

84336494976 is a `hidden beast` number, since 8 + 43 + 36 + 494 + 9 + 76 = 666.

It is a super-2 number, since 2×843364949762 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82601346 + ... + 82602366.

It is an arithmetic number, because the mean of its divisors is an integer number (813572298).

Almost surely, 284336494976 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 84336494976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130171567680).

84336494976 is an abundant number, since it is smaller than the sum of its proper divisors (176006640384).

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

84336494976 is a wasteful number, since it uses less digits than its factorization.

84336494976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1314 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 63.

The spelling of 84336494976 in words is "eighty-four billion, three hundred thirty-six million, four hundred ninety-four thousand, nine hundred seventy-six".