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72852465577 is a prime number
BaseRepresentation
bin100001111011001011…
…0000110011110101001
320222001012202201000211
41003312112012132221
52143200212344302
653245025101121
75156231511553
oct1036626063651
9228035681024
1072852465577
1128995354741
12121521877a1
136b403b42c8
1437517b64d3
151d65c60ad7
hex10f65867a9

72852465577 has 2 divisors, whose sum is σ = 72852465578. Its totient is φ = 72852465576.

The previous prime is 72852465571. The next prime is 72852465583. The reversal of 72852465577 is 77556425827.

It is a balanced prime because it is at equal distance from previous prime (72852465571) and next prime (72852465583).

It can be written as a sum of positive squares in only one way, i.e., 68599991056 + 4252474521 = 261916^2 + 65211^2 .

It is a cyclic number.

It is not a de Polignac number, because 72852465577 - 231 = 70704981929 is a prime.

It is a super-3 number, since 3×728524655773 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (72852465571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36426232788 + 36426232789.

It is an arithmetic number, because the mean of its divisors is an integer number (36426232789).

Almost surely, 272852465577 is an apocalyptic number.

It is an amenable number.

72852465577 is a deficient number, since it is larger than the sum of its proper divisors (1).

72852465577 is an equidigital number, since it uses as much as digits as its factorization.

72852465577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32928000, while the sum is 58.

The spelling of 72852465577 in words is "seventy-two billion, eight hundred fifty-two million, four hundred sixty-five thousand, five hundred seventy-seven".