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84047808000 = 2935313151223
BaseRepresentation
bin100111001000110100…
…0111100011000000000
322000221102210000200210
41032101220330120000
52334112214324000
6102335552114120
76033532403052
oct1162150743000
9260842700623
1084047808000
113270a884152
1214357535940
137c05924c90
1440d45b58d2
1522bda39350
hex1391a3c600

84047808000 has 640 divisors, whose sum is σ = 304284524544. Its totient is φ = 20459520000.

The previous prime is 84047807887. The next prime is 84047808007. The reversal of 84047808000 is 80874048.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 84047808000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84047808007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 376895889 + ... + 376896111.

Almost surely, 284047808000 is an apocalyptic number.

84047808000 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 84047808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152142262272).

84047808000 is an abundant number, since it is smaller than the sum of its proper divisors (220236716544).

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

84047808000 is a wasteful number, since it uses less digits than its factorization.

84047808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The spelling of 84047808000 in words is "eighty-four billion, forty-seven million, eight hundred eight thousand".