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85958781673 is a prime number
BaseRepresentation
bin101000000001110001…
…0101110101011101001
322012212121121112202111
41100003202232223221
52402020422003143
6103253335002321
76132065405632
oct1200342565351
9265777545674
1085958781673
1133500544a36
12147ab5093a1
13814b7cb62b
1442362d8889
1523816b399d
hex14038aeae9

85958781673 has 2 divisors, whose sum is σ = 85958781674. Its totient is φ = 85958781672.

The previous prime is 85958781647. The next prime is 85958781719. The reversal of 85958781673 is 37618785958.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49796815104 + 36161966569 = 223152^2 + 190163^2 .

It is a cyclic number.

It is not a de Polignac number, because 85958781673 - 25 = 85958781641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85958781599 and 85958781608.

It is not a weakly prime, because it can be changed into another prime (85958784673) by changing a digit.

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 as a sum of consecutive naturals, namely, 42979390836 + 42979390837.

It is an arithmetic number, because the mean of its divisors is an integer number (42979390837).

Almost surely, 285958781673 is an apocalyptic number.

It is an amenable number.

85958781673 is a deficient number, since it is larger than the sum of its proper divisors (1).

85958781673 is an equidigital number, since it uses as much as digits as its factorization.

85958781673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 101606400, while the sum is 67.

The spelling of 85958781673 in words is "eighty-five billion, nine hundred fifty-eight million, seven hundred eighty-one thousand, six hundred seventy-three".