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164583089052 = 22337653567661
BaseRepresentation
bin1001100101000111101…
…0101010001110011100
3120201211002010012020220
42121101322222032130
510144031232322202
6203335230441340
714614344113604
oct2312172521634
9521732105226
10164583089052
1163887954868
1227a92663250
131269b915835
147d7448bc04
154433edeabc
hex2651eaa39c

164583089052 has 48 divisors (see below), whose sum is σ = 395011008672. Its totient is φ = 53296462080.

The previous prime is 164583089051. The next prime is 164583089053. The reversal of 164583089052 is 250980385461.

164583089052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164583089051) and next prime (164583089053).

It is a junction number, because it is equal to n+sod(n) for n = 164583088986 and 164583089004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164583089051) 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 15 ways as a sum of consecutive naturals, for example, 6102 + ... + 573762.

It is an arithmetic number, because the mean of its divisors is an integer number (8229396014).

Almost surely, 2164583089052 is an apocalyptic number.

164583089052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164583089052 is an abundant number, since it is smaller than the sum of its proper divisors (230427919620).

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

164583089052 is a wasteful number, since it uses less digits than its factorization.

164583089052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568358 (or 568356 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 164583089052 in words is "one hundred sixty-four billion, five hundred eighty-three million, eighty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 653 1306 1959 2612 3918 7836 24161 48322 72483 96644 144966 289932 567661 1135322 1702983 2270644 3405966 6811932 21003457 42006914 63010371 84013828 126020742 252041484 370682633 741365266 1112047899 1482730532 2224095798 4448191596 13715257421 27430514842 41145772263 54861029684 82291544526 164583089052