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82427825480 = 23573111342013
BaseRepresentation
bin100110011000100010…
…1001100110101001000
321212202112111101110012
41030301011030311020
52322303010403410
6101511122211052
75645431646000
oct1146105146510
9255675441405
1082427825480
1131a593a4320
1213b84ab3a88
137a08113a40
143dbd39d000
1522266de605
hex133114cd48

82427825480 has 256 divisors, whose sum is σ = 254100672000. Its totient is φ = 23714933760.

The previous prime is 82427825443. The next prime is 82427825537. The reversal of 82427825480 is 8452872428.

It is a happy number.

It is a super-2 number, since 2×824278254802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1940954 + ... + 1982966.

It is an arithmetic number, because the mean of its divisors is an integer number (992580750).

Almost surely, 282427825480 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 82427825480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127050336000).

82427825480 is an abundant number, since it is smaller than the sum of its proper divisors (171672846520).

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

82427825480 is a wasteful number, since it uses less digits than its factorization.

82427825480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42069 (or 42051 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 50.

The spelling of 82427825480 in words is "eighty-two billion, four hundred twenty-seven million, eight hundred twenty-five thousand, four hundred eighty".