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148041345089 = 11173312391737
BaseRepresentation
bin1000100111011111110…
…0111010100001000001
3112011010020220112110002
42021313330322201001
54411142041020324
6152001555445345
713460413446041
oct2116774724101
9464106815402
10148041345089
1157869530790
12248368b6855
1310c6384cc61
1472455b9721
153cb6b873ae
hex2277f3a841

148041345089 has 16 divisors (see below), whose sum is σ = 171516315456. Its totient is φ = 126283660800.

The previous prime is 148041345077. The next prime is 148041345103. The reversal of 148041345089 is 980543140841.

It is a happy number.

148041345089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-148041345089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (148041345019) 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, 1133972 + ... + 1257765.

It is an arithmetic number, because the mean of its divisors is an integer number (10719769716).

Almost surely, 2148041345089 is an apocalyptic number.

It is an amenable number.

148041345089 is a deficient number, since it is larger than the sum of its proper divisors (23474970367).

148041345089 is a wasteful number, since it uses less digits than its factorization.

148041345089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392096.

The product of its (nonzero) digits is 552960, while the sum is 47.

The spelling of 148041345089 in words is "one hundred forty-eight billion, forty-one million, three hundred forty-five thousand, eighty-nine".

Divisors: 1 11 17 187 331 3641 5627 61897 2391737 26309107 40659529 447254819 791664947 8708314417 13458304099 148041345089