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83427076992 = 2737231157911
BaseRepresentation
bin100110110110010100…
…1000010101110000000
321222100011202121211110
41031230221002232000
52331324312430432
6102154215443320
76012254311500
oct1155451025600
9258304677743
1083427076992
1132421456816
1214203686540
137b3714b31c
144075d93a00
1522842c3dcc
hex136ca42b80

83427076992 has 384 divisors, whose sum is σ = 268087726080. Its totient is φ = 22895308800.

The previous prime is 83427076987. The next prime is 83427077017. The reversal of 83427076992 is 29967072438.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91577017 + ... + 91577927.

It is an arithmetic number, because the mean of its divisors is an integer number (698145120).

Almost surely, 283427076992 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 83427076992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134043863040).

83427076992 is an abundant number, since it is smaller than the sum of its proper divisors (184660649088).

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

83427076992 is a wasteful number, since it uses less digits than its factorization.

83427076992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 83427076992 in words is "eighty-three billion, four hundred twenty-seven million, seventy-six thousand, nine hundred ninety-two".