Search a number
-
+
146509858079 = 1383227598163
BaseRepresentation
bin1000100001110010101…
…0110000010100011111
3112000011112010221012222
42020130222300110133
54400023010424304
6151150010415555
713404436150244
oct2103452602437
9460145127188
10146509858079
1157152aa4942
1224489a315bb
1310a7b484c20
14713c03b5cb
153c274bd4be
hex221cab051f

146509858079 has 16 divisors (see below), whose sum is σ = 160384516992. Its totient is φ = 133021658208.

The previous prime is 146509858073. The next prime is 146509858127. The reversal of 146509858079 is 970858905641.

It is a cyclic number.

It is not a de Polignac number, because 146509858079 - 212 = 146509853983 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146509858073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54149 + ... + 544014.

It is an arithmetic number, because the mean of its divisors is an integer number (10024032312).

Almost surely, 2146509858079 is an apocalyptic number.

146509858079 is a deficient number, since it is larger than the sum of its proper divisors (13874658913).

146509858079 is a wasteful number, since it uses less digits than its factorization.

146509858079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598486.

The product of its (nonzero) digits is 21772800, while the sum is 62.

The spelling of 146509858079 in words is "one hundred forty-six billion, five hundred nine million, eight hundred fifty-eight thousand, seventy-nine".

Divisors: 1 13 83 227 1079 2951 18841 244933 598163 7776119 49647529 135783001 645417877 1765179013 11269989083 146509858079