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84643328000 = 2125371119113
BaseRepresentation
bin100111011010100100…
…0101011000000000000
322002110221100120120002
41032311020223000000
52341322142444000
6102515024135132
76054353263010
oct1166510530000
9262427316502
1084643328000
1132995a52140
12144a2a674a8
137c9c11268a
14414d713c40
152305e6e8d5
hex13b522b000

84643328000 has 832 divisors, whose sum is σ = 279683988480. Its totient is φ = 24772608000.

The previous prime is 84643327969. The next prime is 84643328009. The reversal of 84643328000 is 82334648.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84643328009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 749055944 + ... + 749056056.

It is an arithmetic number, because the mean of its divisors is an integer number (336158640).

Almost surely, 284643328000 is an apocalyptic number.

84643328000 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 84643328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139841994240).

84643328000 is an abundant number, since it is smaller than the sum of its proper divisors (195040660480).

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

84643328000 is a wasteful number, since it uses less digits than its factorization.

84643328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 84643328000 in words is "eighty-four billion, six hundred forty-three million, three hundred twenty-eight thousand".