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85537900793 is a prime number
BaseRepresentation
bin100111110101001110…
…1001100100011111001
322011210021122120201202
41033222131030203321
52400140200311133
6103143502023545
76115465105652
oct1175235144371
9264707576652
1085537900793
1133304a079a4
12146b2577bb5
1380b25589a7
1441d645a529
1523597782e8
hex13ea74c8f9

85537900793 has 2 divisors, whose sum is σ = 85537900794. Its totient is φ = 85537900792.

The previous prime is 85537900787. The next prime is 85537900807. The reversal of 85537900793 is 39700973558.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67856082064 + 17681818729 = 260492^2 + 132973^2 .

It is a cyclic number.

It is not a de Polignac number, because 85537900793 - 218 = 85537638649 is a prime.

It is a super-3 number, since 3×855379007933 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (85537900753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42768950396 + 42768950397.

It is an arithmetic number, because the mean of its divisors is an integer number (42768950397).

Almost surely, 285537900793 is an apocalyptic number.

It is an amenable number.

85537900793 is a deficient number, since it is larger than the sum of its proper divisors (1).

85537900793 is an equidigital number, since it uses as much as digits as its factorization.

85537900793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7144200, while the sum is 56.

The spelling of 85537900793 in words is "eighty-five billion, five hundred thirty-seven million, nine hundred thousand, seven hundred ninety-three".