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104442026364 = 22321321923163241
BaseRepresentation
bin110000101000100111…
…0101101100101111100
3100222120202002122212200
41201101032231211330
53202344124320424
6115551403031500
710355112401454
oct1412116554574
9328522078780
10104442026364
114032588a275
12182a950b590
139b05b98700
1450aad98d64
152ab41c58c9
hex18513ad97c

104442026364 has 432 divisors, whose sum is σ = 317243646720. Its totient is φ = 28822210560.

The previous prime is 104442026357. The next prime is 104442026389. The reversal of 104442026364 is 463620244401.

104442026364 is a `hidden beast` number, since 1 + 0 + 444 + 202 + 6 + 3 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 433369284 + ... + 433369524.

Almost surely, 2104442026364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104442026364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158621823360).

104442026364 is an abundant number, since it is smaller than the sum of its proper divisors (212801620356).

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

104442026364 is a wasteful number, since it uses less digits than its factorization.

104442026364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 104442026364 in words is "one hundred four billion, four hundred forty-two million, twenty-six thousand, three hundred sixty-four".