Search a number
-
+
105578562845 = 5743113620813
BaseRepresentation
bin110001001010011111…
…0010000010100011101
3101002111221200200211102
41202110332100110131
53212211103002340
6120300243002445
710425222656060
oct1422476202435
9332457620742
10105578562845
1140859389a18
1218566069425
139c5749c5c2
145177cc88d7
152b2dd77215
hex1894f9051d

105578562845 has 32 divisors (see below), whose sum is σ = 149472145152. Its totient is φ = 70087191552.

The previous prime is 105578562841. The next prime is 105578562889. The reversal of 105578562845 is 548265875501.

It is not a de Polignac number, because 105578562845 - 22 = 105578562841 is a prime.

It is a super-2 number, since 2×1055785628452 (a number of 23 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 (105578562841) 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 31 ways as a sum of consecutive naturals, for example, 140342 + ... + 480471.

It is an arithmetic number, because the mean of its divisors is an integer number (4671004536).

Almost surely, 2105578562845 is an apocalyptic number.

It is an amenable number.

105578562845 is a deficient number, since it is larger than the sum of its proper divisors (43893582307).

105578562845 is a wasteful number, since it uses less digits than its factorization.

105578562845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620981.

The product of its (nonzero) digits is 13440000, while the sum is 56.

The spelling of 105578562845 in words is "one hundred five billion, five hundred seventy-eight million, five hundred sixty-two thousand, eight hundred forty-five".

Divisors: 1 5 7 35 43 113 215 301 565 791 1505 3955 4859 24295 34013 170065 620813 3104065 4345691 21728455 26694959 70151869 133474795 186864713 350759345 491063083 934323565 2455315415 3016530367 15082651835 21115712569 105578562845