Search a number
-
+
185704421088 = 2538392305627
BaseRepresentation
bin1010110011110011011…
…0001001011011100000
3122202100001122000212210
42230330312021123200
511020310312433323
6221151134122120
716262633351244
oct2547466113340
9582301560783
10185704421088
117183633917a
122bba8050340
13146866cc944
148db9666424
154c6d407293
hex2b3cd896e0

185704421088 has 48 divisors (see below), whose sum is σ = 488055335040. Its totient is φ = 61827666816.

The previous prime is 185704421087. The next prime is 185704421171. The reversal of 185704421088 is 880124407581.

185704421088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1857044210882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185704421087) 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 7 ways as a sum of consecutive naturals, for example, 1072270 + ... + 1233357.

It is an arithmetic number, because the mean of its divisors is an integer number (10167819480).

Almost surely, 2185704421088 is an apocalyptic number.

It is an amenable number.

185704421088 is an abundant number, since it is smaller than the sum of its proper divisors (302350913952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

185704421088 is a wasteful number, since it uses less digits than its factorization.

185704421088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306479 (or 2306471 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The spelling of 185704421088 in words is "one hundred eighty-five billion, seven hundred four million, four hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 839 1678 2517 3356 5034 6712 10068 13424 20136 26848 40272 80544 2305627 4611254 6916881 9222508 13833762 18445016 27667524 36890032 55335048 73780064 110670096 221340192 1934421053 3868842106 5803263159 7737684212 11606526318 15475368424 23213052636 30950736848 46426105272 61901473696 92852210544 185704421088