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83116483296 = 253711431092399
BaseRepresentation
bin100110101101000100…
…0001110001011100000
321221112112022211101020
41031122020032023200
52330210304431141
6102103322405440
76001463310510
oct1153210161340
9257475284336
1083116483296
11322820a7110
1214137660880
137ab79b1682
144046a23840
152266dc1266
hex135a20e2e0

83116483296 has 384 divisors, whose sum is σ = 281014272000. Its totient is φ = 20884469760.

The previous prime is 83116483271. The next prime is 83116483297. The reversal of 83116483296 is 69238461138.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83116483297) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34645105 + ... + 34647503.

It is an arithmetic number, because the mean of its divisors is an integer number (731808000).

Almost surely, 283116483296 is an apocalyptic number.

83116483296 is a gapful number since it is divisible by the number (86) 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 83116483296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140507136000).

83116483296 is an abundant number, since it is smaller than the sum of its proper divisors (197897788704).

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

83116483296 is a wasteful number, since it uses less digits than its factorization.

83116483296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2574 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The spelling of 83116483296 in words is "eighty-three billion, one hundred sixteen million, four hundred eighty-three thousand, two hundred ninety-six".