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83878698384 = 2432131931127599
BaseRepresentation
bin100111000011110001…
…1110101110110010000
322000111122120100220200
41032013203311312100
52333240421322014
6102311111335200
76026410113105
oct1160743656620
9260448510820
1083878698384
113263337a638
121430a981500
137ba9895010
1440b9d54aac
1522adc82a09
hex13878f5d90

83878698384 has 480 divisors, whose sum is σ = 277315584000. Its totient is φ = 23436241920.

The previous prime is 83878698349. The next prime is 83878698427. The reversal of 83878698384 is 48389687838.

83878698384 is a `hidden beast` number, since 8 + 3 + 87 + 86 + 98 + 384 = 666.

It is a super-2 number, since 2×838786983842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 140030917 + ... + 140031515.

It is an arithmetic number, because the mean of its divisors is an integer number (577740800).

Almost surely, 283878698384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83878698384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138657792000).

83878698384 is an abundant number, since it is smaller than the sum of its proper divisors (193436885616).

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

83878698384 is a wasteful number, since it uses less digits than its factorization.

83878698384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 794 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 72.

The spelling of 83878698384 in words is "eighty-three billion, eight hundred seventy-eight million, six hundred ninety-eight thousand, three hundred eighty-four".