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84494453120 = 27571119314171
BaseRepresentation
bin100111010110001000…
…0110000100110000000
322002002120012221121122
41032230100300212000
52341021034444440
6102452145211412
76050565000320
oct1165420604600
9262076187548
1084494453120
1132919a09250
1214461030b68
137c7731892c
144137a3d280
1522e7d637b5
hex13ac430980

84494453120 has 1024 divisors, whose sum is σ = 284265676800. Its totient is φ = 23224320000.

The previous prime is 84494453107. The next prime is 84494453137. The reversal of 84494453120 is 2135449448.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1190062685 + ... + 1190062755.

It is an arithmetic number, because the mean of its divisors is an integer number (277603200).

Almost surely, 284494453120 is an apocalyptic number.

84494453120 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 84494453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142132838400).

84494453120 is an abundant number, since it is smaller than the sum of its proper divisors (199771223680).

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

84494453120 is a wasteful number, since it uses less digits than its factorization.

84494453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 84494453120 in words is "eighty-four billion, four hundred ninety-four million, four hundred fifty-three thousand, one hundred twenty".