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84723425280 = 213335137183
BaseRepresentation
bin100111011100111101…
…0001110000000000000
322002200112001221101000
41032321322032000000
52342003144102110
6102531005012000
76056345142534
oct1167172160000
9262615057330
1084723425280
1132a2718a43a
1214505854000
137cb28a8110
14415a203bc4
15230cee21c0
hex13b9e8e000

84723425280 has 896 divisors, whose sum is σ = 332923530240. Its totient is φ = 20313538560.

The previous prime is 84723425273. The next prime is 84723425329. The reversal of 84723425280 is 8252432748.

84723425280 is a `hidden beast` number, since 84 + 7 + 2 + 3 + 42 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1020764119 + ... + 1020764201.

It is an arithmetic number, because the mean of its divisors is an integer number (371566440).

Almost surely, 284723425280 is an apocalyptic number.

84723425280 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 84723425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166461765120).

84723425280 is an abundant number, since it is smaller than the sum of its proper divisors (248200104960).

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

84723425280 is a wasteful number, since it uses less digits than its factorization.

84723425280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 84723425280 in words is "eighty-four billion, seven hundred twenty-three million, four hundred twenty-five thousand, two hundred eighty".