Search a number
-
+
86592150347145 = 3567137628914917
BaseRepresentation
bin10011101100000101001110…
…010111001001110110001001
3102100121010110211201221121220
4103230011032113021312021
542322211210442102040
6504055515032352253
724145035131413332
oct2354051627116611
9370533424657556
1086592150347145
1125655585466783
12986617bb45689
1339417b27ca2c1
1417551222d9289
15a026d95412d0
hex4ec14e5c9d89

86592150347145 has 32 divisors (see below), whose sum is σ = 141641702172288. Its totient is φ = 45161122288128.

The previous prime is 86592150347117. The next prime is 86592150347147. The reversal of 86592150347145 is 54174305129568.

It is not a de Polignac number, because 86592150347145 - 211 = 86592150345097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86592150347147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314319774 + ... + 314595143.

It is an arithmetic number, because the mean of its divisors is an integer number (4426303192884).

It is a 1-persistent number, because it is pandigital, but 2⋅86592150347145 = 173184300694290 is not.

Almost surely, 286592150347145 is an apocalyptic number.

It is an amenable number.

86592150347145 is a deficient number, since it is larger than the sum of its proper divisors (55049551825143).

86592150347145 is a wasteful number, since it uses less digits than its factorization.

86592150347145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628915129.

The product of its (nonzero) digits is 36288000, while the sum is 60.

The spelling of 86592150347145 in words is "eighty-six trillion, five hundred ninety-two billion, one hundred fifty million, three hundred forty-seven thousand, one hundred forty-five".

Divisors: 1 3 5 15 67 137 201 335 411 685 1005 2055 9179 27537 45895 137685 628914917 1886744751 3144574585 9433723755 42137299439 86161343629 126411898317 210686497195 258484030887 430806718145 632059491585 1292420154435 5772810023143 17318430069429 28864050115715 86592150347145