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83944367172 = 223419311074111
BaseRepresentation
bin100111000101101111…
…0010110010001000100
322000200020010200120000
41032023132112101010
52333404224222142
6102321415041300
76031135230231
oct1161336262104
9260606120500
1083944367172
1132667452566
1214328970230
137bba3782a3
1440c496a788
1522b490514c
hex138b796444

83944367172 has 240 divisors, whose sum is σ = 240735559680. Its totient is φ = 25407691200.

The previous prime is 83944367161. The next prime is 83944367207. The reversal of 83944367172 is 27176344938.

83944367172 is a `hidden beast` number, since 8 + 39 + 4 + 436 + 7 + 172 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20417397 + ... + 20421507.

It is an arithmetic number, because the mean of its divisors is an integer number (1003064832).

Almost surely, 283944367172 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 83944367172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120367779840).

83944367172 is an abundant number, since it is smaller than the sum of its proper divisors (156791192508).

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

83944367172 is a wasteful number, since it uses less digits than its factorization.

83944367172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284 (or 4273 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 83944367172 in words is "eighty-three billion, nine hundred forty-four million, three hundred sixty-seven thousand, one hundred seventy-two".