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164404544532660 = 223258871029716551
BaseRepresentation
bin100101011000011001101010…
…011110011111000010110100
3210120002220212101022022000100
4211120121222132133002310
5133022101001400021120
61341354223300314100
746425556606112355
oct4530315236370264
9716086771268010
10164404544532660
1148425637409963
12165328513a2930
1370973887c7673
142c85318429d2c
151401815bae490
hex95866a79f0b4

164404544532660 has 72 divisors (see below), whose sum is σ = 499256010804096. Its totient is φ = 43791785438400.

The previous prime is 164404544532629. The next prime is 164404544532667. The reversal of 164404544532660 is 66235445404461.

164404544532660 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 0 + 4 + 5 + 44 + 532 + 6 + 60 = 666.

164404544532660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1644045445326603 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164404544532597 and 164404544532606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164404544532667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514698616 + ... + 515017935.

It is an arithmetic number, because the mean of its divisors is an integer number (6934111261168).

Almost surely, 2164404544532660 is an apocalyptic number.

164404544532660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164404544532660 is an abundant number, since it is smaller than the sum of its proper divisors (334851466271436).

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

164404544532660 is a wasteful number, since it uses less digits than its factorization.

164404544532660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029717453 (or 1029717448 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 164404544532660 in words is "one hundred sixty-four trillion, four hundred four billion, five hundred forty-four million, five hundred thirty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 887 1774 2661 3548 4435 5322 7983 8870 10644 13305 15966 17740 26610 31932 39915 53220 79830 159660 1029716551 2059433102 3089149653 4118866204 5148582755 6178299306 9267448959 10297165510 12356598612 15445748265 18534897918 20594331020 30891496530 37069795836 46337244795 61782993060 92674489590 185348979180 913358580737 1826717161474 2740075742211 3653434322948 4566792903685 5480151484422 8220227226633 9133585807370 10960302968844 13700378711055 16440454453266 18267171614740 27400757422110 32880908906532 41101136133165 54801514844220 82202272266330 164404544532660