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83237700060 = 223356119313093
BaseRepresentation
bin100110110000101011…
…0101000000111011100
321221211222102021112000
41031201112220013130
52330432322400220
6102123332442300
76004464530244
oct1154126500734
9257758367460
1083237700060
113233456a059
1214170179390
137b06b43378
144058b78b24
152272867390
hex13615a81dc

83237700060 has 192 divisors, whose sum is σ = 264590981760. Its totient is φ = 21718056960.

The previous prime is 83237700059. The next prime is 83237700089. The reversal of 83237700060 is 6000773238.

It is a super-2 number, since 2×832377000602 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 83237699988 and 83237700024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6350874 + ... + 6363966.

It is an arithmetic number, because the mean of its divisors is an integer number (1378078030).

Almost surely, 283237700060 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 83237700060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132295490880).

83237700060 is an abundant number, since it is smaller than the sum of its proper divisors (181353281700).

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

83237700060 is a wasteful number, since it uses less digits than its factorization.

83237700060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13365 (or 13357 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 83237700060 in words is "eighty-three billion, two hundred thirty-seven million, seven hundred thousand, sixty".