Search a number
-
+
33454170973 = 5913726315737
BaseRepresentation
bin11111001010000001…
…100010001101011101
310012100110220222011101
4133022001202031131
51022003231432343
623211342553101
72263011522106
oct371201421535
9105313828141
1033454170973
1113208009893
126597898791
133201ba6952
1418950b73ad
15d0bed1e4d
hex7ca06235d

33454170973 has 16 divisors (see below), whose sum is σ = 34402008960. Its totient is φ = 32520898816.

The previous prime is 33454170899. The next prime is 33454170977. The reversal of 33454170973 is 37907145433.

It is a cyclic number.

It is not a de Polignac number, because 33454170973 - 221 = 33452073821 is a prime.

It is a super-2 number, since 2×334541709732 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33454170977) 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, 2117961 + ... + 2133697.

It is an arithmetic number, because the mean of its divisors is an integer number (2150125560).

Almost surely, 233454170973 is an apocalyptic number.

It is an amenable number.

33454170973 is a deficient number, since it is larger than the sum of its proper divisors (947837987).

33454170973 is a wasteful number, since it uses less digits than its factorization.

33454170973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16196.

The product of its (nonzero) digits is 952560, while the sum is 46.

The spelling of 33454170973 in words is "thirty-three billion, four hundred fifty-four million, one hundred seventy thousand, nine hundred seventy-three".

Divisors: 1 59 137 263 8083 15517 15737 36031 928483 2125829 2155969 4138831 127202171 244191029 567019847 33454170973