Search a number
-
+
189346256544 = 25314331376383
BaseRepresentation
bin1011000001010111101…
…0101001011010100000
3200002201212101102221110
42300111322221122200
511100240120202134
6222552351223320
716452114424314
oct2602572513240
9602655342843
10189346256544
1173335031045
1230843817b40
1314b17069b73
1492431c5b44
154dd2ece7e9
hex2c15ea96a0

189346256544 has 48 divisors (see below), whose sum is σ = 497381133312. Its totient is φ = 63071328768.

The previous prime is 189346256543. The next prime is 189346256549. The reversal of 189346256544 is 445652643981.

It is a happy number.

189346256544 is digitally balanced in base 3, 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 not an unprimeable number, because it can be changed into a prime (189346256543) 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 7 ways as a sum of consecutive naturals, for example, 550624 + ... + 825759.

It is an arithmetic number, because the mean of its divisors is an integer number (10362106944).

Almost surely, 2189346256544 is an apocalyptic number.

It is an amenable number.

189346256544 is an abundant number, since it is smaller than the sum of its proper divisors (308034876768).

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

189346256544 is a wasteful number, since it uses less digits than its factorization.

189346256544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377829 (or 1377821 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 57.

The spelling of 189346256544 in words is "one hundred eighty-nine billion, three hundred forty-six million, two hundred fifty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1433 2866 4299 5732 8598 11464 17196 22928 34392 45856 68784 137568 1376383 2752766 4129149 5505532 8258298 11011064 16516596 22022128 33033192 44044256 66066384 132132768 1972356839 3944713678 5917070517 7889427356 11834141034 15778854712 23668282068 31557709424 47336564136 63115418848 94673128272 189346256544