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83084038600 = 2352415420193
BaseRepresentation
bin100110101100000110…
…0011101000111001000
321221110021021110121211
41031120030131013020
52330124003213400
6102100203142504
76000620450533
oct1153014350710
9257407243554
1083084038600
1132265856a12
1214128814a34
137ab1061a24
1440425b9a1a
152264112dba
hex135831d1c8

83084038600 has 24 divisors (see below), whose sum is σ = 193170390210. Its totient is φ = 33233615360.

The previous prime is 83084038591. The next prime is 83084038607. The reversal of 83084038600 is 683048038.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 73390060836 + 9693977764 = 270906^2 + 98458^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (83084038607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 207709897 + ... + 207710296.

Almost surely, 283084038600 is an apocalyptic number.

It is an amenable number.

83084038600 is an abundant number, since it is smaller than the sum of its proper divisors (110086351610).

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

83084038600 is a wasteful number, since it uses less digits than its factorization.

83084038600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415420209 (or 415420200 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 83084038600 in words is "eighty-three billion, eighty-four million, thirty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 415420193 830840386 1661680772 2077100965 3323361544 4154201930 8308403860 10385504825 16616807720 20771009650 41542019300 83084038600