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83717000484 = 2231343611091877
BaseRepresentation
bin100110111110111101…
…1000000110100100100
322000002101022021002120
41031331323000310210
52332423023003414
6102243053505540
76022404522465
oct1157573006444
9260071267076
1083717000484
1132560078607
12142847a22b0
137b8222b7a0
1440a26a2d6c
15229e9922a9
hex137dec0d24

83717000484 has 192 divisors, whose sum is σ = 220911694080. Its totient is φ = 24507463680.

The previous prime is 83717000483. The next prime is 83717000561. The reversal of 83717000484 is 48400071738.

It is not an unprimeable number, because it can be changed into a prime (83717000483) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 44600554 + ... + 44602430.

It is an arithmetic number, because the mean of its divisors is an integer number (1150581740).

Almost surely, 283717000484 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 83717000484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110455847040).

83717000484 is an abundant number, since it is smaller than the sum of its proper divisors (137194693596).

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

83717000484 is a wasteful number, since it uses less digits than its factorization.

83717000484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 83717000484 in words is "eighty-three billion, seven hundred seventeen million, four hundred eighty-four", and thus it is an aban number.