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164641467140 = 22541200782277
BaseRepresentation
bin1001100101010101100…
…1010110101100000100
3120201222010222002221022
42121111121112230010
510144141203422030
6203345114010312
714615653244243
oct2312531265404
9521863862838
10164641467140
11639078a8117
1227aaa116998
13126aaa45497
147d7c12695a
1544391c1de5
hex2655656b04

164641467140 has 24 divisors (see below), whose sum is σ = 354179938392. Its totient is φ = 64250328320.

The previous prime is 164641467121. The next prime is 164641467143. The reversal of 164641467140 is 41764146461.

It can be written as a sum of positive squares in 4 ways, for example, as 9608704576 + 155032762564 = 98024^2 + 393742^2 .

It is a junction number, because it is equal to n+sod(n) for n = 164641467091 and 164641467100.

It is not an unprimeable number, because it can be changed into a prime (164641467143) 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, 100390319 + ... + 100391958.

It is an arithmetic number, because the mean of its divisors is an integer number (14757497433).

Almost surely, 2164641467140 is an apocalyptic number.

164641467140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164641467140 is an abundant number, since it is smaller than the sum of its proper divisors (189538471252).

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

164641467140 is a wasteful number, since it uses less digits than its factorization.

164641467140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200782327 (or 200782325 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 164641467140 in words is "one hundred sixty-four billion, six hundred forty-one million, four hundred sixty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 200782277 401564554 803129108 1003911385 2007822770 4015645540 8232073357 16464146714 32928293428 41160366785 82320733570 164641467140