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87242224278 = 23112236197883
BaseRepresentation
bin101000101000000001…
…0101011001010010110
322100012001122012000210
41101100002223022112
52412133002134103
6104024543350250
76205641446046
oct1212002531226
9270161565023
1087242224278
1133aa9a63400
1214aa92b2386
1382c468a121
144318949726
1524091d2e03
hex14500ab296

87242224278 has 192 divisors, whose sum is σ = 205737831936. Its totient is φ = 24588748800.

The previous prime is 87242224273. The next prime is 87242224297.

87242224278 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×872422242782 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87242224273) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98801625 + ... + 98802507.

It is an arithmetic number, because the mean of its divisors is an integer number (1071551208).

Almost surely, 287242224278 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87242224278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102868915968).

87242224278 is an abundant number, since it is smaller than the sum of its proper divisors (118495607658).

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

87242224278 is a wasteful number, since it uses less digits than its factorization.

87242224278 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1080 counting only the distinct ones).

The product of its digits is 1605632, while the sum is 48.

The spelling of 87242224278 in words is "eighty-seven billion, two hundred forty-two million, two hundred twenty-four thousand, two hundred seventy-eight".