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83011290912 = 2534114171011
BaseRepresentation
bin100110101001111011…
…0111100011100100000
321221021012101111120000
41031103312330130200
52330001342302122
6102045044020000
75666045221254
oct1152366743440
9257235344500
1083011290912
1132228789560
1214108391600
137a9bc70664
144036a80264
15225ca430ac
hex1353dbc720

83011290912 has 240 divisors, whose sum is σ = 272827535904. Its totient is φ = 24541056000.

The previous prime is 83011290851. The next prime is 83011290917. The reversal of 83011290912 is 21909211038.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83011290917) 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 39 ways as a sum of consecutive naturals, for example, 1133487 + ... + 1204497.

Almost surely, 283011290912 is an apocalyptic number.

83011290912 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83011290912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136413767952).

83011290912 is an abundant number, since it is smaller than the sum of its proper divisors (189816244992).

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

83011290912 is a wasteful number, since it uses less digits than its factorization.

83011290912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71085 (or 71068 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 83011290912 in words is "eighty-three billion, eleven million, two hundred ninety thousand, nine hundred twelve".