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85762048613 = 17181243711437
BaseRepresentation
bin100111111011111010…
…0010000001001100101
322012100220102110201212
41033313310100021211
52401120041023423
6103222030201205
76124156246103
oct1176764201145
9265326373655
1085762048613
113340a49352a
1214755653205
138119b19337
144218126c73
15236e2a2578
hex13f7d10265

85762048613 has 16 divisors (see below), whose sum is σ = 91354024944. Its totient is φ = 80231316480.

The previous prime is 85762048601. The next prime is 85762048657. The reversal of 85762048613 is 31684026758.

It can be written as a sum of positive squares in 8 ways, for example, as 57729604 + 85704319009 = 7598^2 + 292753^2 .

It is a cyclic number.

It is not a de Polignac number, because 85762048613 - 214 = 85762032229 is a prime.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85762041613) 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 in 15 ways as a sum of consecutive naturals, for example, 7492931 + ... + 7504367.

It is an arithmetic number, because the mean of its divisors is an integer number (5709626559).

Almost surely, 285762048613 is an apocalyptic number.

It is an amenable number.

85762048613 is a deficient number, since it is larger than the sum of its proper divisors (5591976331).

85762048613 is a wasteful number, since it uses less digits than its factorization.

85762048613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14072.

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 85762048613 in words is "eighty-five billion, seven hundred sixty-two million, forty-eight thousand, six hundred thirteen".

Divisors: 1 17 181 2437 3077 11437 41429 194429 441097 2070097 7498649 27871969 35191649 473823473 5044826389 85762048613