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1774234686664 = 231121847992359
BaseRepresentation
bin11001110100011000101…
…000001101010011001000
320021121121110120122010101
4121310120220031103020
5213032113034433124
63435023330455144
7242120122001326
oct31643050152310
96247543518111
101774234686664
116244a3254400
12247a377344b4
13cb4042b207b
1461c32928d16
1531242ab1644
hex19d18a0d4c8

1774234686664 has 48 divisors (see below), whose sum is σ = 3658593153600. Its totient is φ = 806032861920.

The previous prime is 1774234686649. The next prime is 1774234686701. The reversal of 1774234686664 is 4666864324771.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1774234686596 and 1774234686605.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1291717 + ... + 2284075.

It is an arithmetic number, because the mean of its divisors is an integer number (76220690700).

Almost surely, 21774234686664 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 1774234686664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829296576800).

1774234686664 is an abundant number, since it is smaller than the sum of its proper divisors (1884358466936).

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

1774234686664 is a wasteful number, since it uses less digits than its factorization.

1774234686664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994234 (or 994219 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 64.

The spelling of 1774234686664 in words is "one trillion, seven hundred seventy-four billion, two hundred thirty-four million, six hundred eighty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1847 3694 7388 14776 20317 40634 81268 162536 223487 446974 893948 992359 1787896 1984718 3969436 7938872 10915949 21831898 43663796 87327592 120075439 240150878 480301756 960603512 1832887073 3665774146 7331548292 14663096584 20161757803 40323515606 80647031212 161294062424 221779335833 443558671666 887117343332 1774234686664