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87310424257 = 727324408841
BaseRepresentation
bin101000101010000011…
…0110101100011000001
322100100210222002210221
41101110012311203001
52412302432034012
6104035421223041
76210430234600
oct1212406654301
9270323862727
1087310424257
1134034505021
1214b08101a81
138305848544
144323a1da37
1524101a5507
hex14541b58c1

87310424257 has 12 divisors (see below), whose sum is σ = 102956495556. Its totient is φ = 73812332160.

The previous prime is 87310424249. The next prime is 87310424281. The reversal of 87310424257 is 75242401378.

It can be written as a sum of positive squares in 2 ways, for example, as 66094753921 + 21215670336 = 257089^2 + 145656^2 .

It is not a de Polignac number, because 87310424257 - 23 = 87310424249 is a prime.

It is a super-2 number, since 2×873104242572 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87310424237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12200844 + ... + 12207997.

It is an arithmetic number, because the mean of its divisors is an integer number (8579707963).

Almost surely, 287310424257 is an apocalyptic number.

It is an amenable number.

87310424257 is a deficient number, since it is larger than the sum of its proper divisors (15646071299).

87310424257 is a wasteful number, since it uses less digits than its factorization.

87310424257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24408928 (or 24408921 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 43.

The spelling of 87310424257 in words is "eighty-seven billion, three hundred ten million, four hundred twenty-four thousand, two hundred fifty-seven".

Divisors: 1 7 49 73 511 3577 24408841 170861887 1196033209 1781845393 12472917751 87310424257