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84784299138 = 2327111729167743
BaseRepresentation
bin100111011110110001…
…0011011110010000010
322002211202121122121100
41032331202123302002
52342114240033023
6102541021435230
76061014436410
oct1167542336202
9262752548540
1084784299138
1132a58587910
121452210bb16
137cc239ca56
14416432c2b0
152313518c43
hex13bd89bc82

84784299138 has 384 divisors, whose sum is σ = 252703825920. Its totient is φ = 19865180160.

The previous prime is 84784299101. The next prime is 84784299151. The reversal of 84784299138 is 83199248748.

84784299138 is a `hidden beast` number, since 8 + 4 + 78 + 429 + 9 + 138 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114110395 + ... + 114111137.

It is an arithmetic number, because the mean of its divisors is an integer number (658082880).

Almost surely, 284784299138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84784299138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126351912960).

84784299138 is an abundant number, since it is smaller than the sum of its proper divisors (167919526782).

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

84784299138 is a wasteful number, since it uses less digits than its factorization.

84784299138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 979 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 84784299138 in words is "eighty-four billion, seven hundred eighty-four million, two hundred ninety-nine thousand, one hundred thirty-eight".