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118500106745 = 597330174017
BaseRepresentation
bin110111001011100101…
…0000010000111111001
3102022212110212010202102
41232113022002013321
53420142011403440
6130234352313145
711363354200526
oct1562712020771
9368773763672
10118500106745
114628a248119
121ab715427b5
13b236531877
145a4207014d
15313847cb15
hex1b972821f9

118500106745 has 16 divisors (see below), whose sum is σ = 143711572368. Its totient is φ = 93793075200.

The previous prime is 118500106741. The next prime is 118500106757. The reversal of 118500106745 is 547601005811.

It can be written as a sum of positive squares in 8 ways, for example, as 310605376 + 118189501369 = 17624^2 + 343787^2 .

It is not a de Polignac number, because 118500106745 - 22 = 118500106741 is a prime.

It is a super-3 number, since 3×1185001067453 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 118500106699 and 118500106708.

It is not an unprimeable number, because it can be changed into a prime (118500106741) 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, 1563977 + ... + 1637993.

It is an arithmetic number, because the mean of its divisors is an integer number (8981973273).

Almost surely, 2118500106745 is an apocalyptic number.

It is an amenable number.

118500106745 is a deficient number, since it is larger than the sum of its proper divisors (25211465623).

118500106745 is an equidigital number, since it uses as much as digits as its factorization.

118500106745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77420.

The product of its (nonzero) digits is 33600, while the sum is 38.

The spelling of 118500106745 in words is "one hundred eighteen billion, five hundred million, one hundred six thousand, seven hundred forty-five".

Divisors: 1 5 97 485 3301 16505 74017 320197 370085 1600985 7179649 35898245 244330117 1221650585 23700021349 118500106745