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166341936769 = 41101247716217
BaseRepresentation
bin1001101011101011000…
…0001000011010000001
3120220100122200220201221
42122322300020122001
510211132013434034
6204225540555041
715006052063531
oct2327260103201
9526318626657
10166341936769
11645aa761118
12282a36b2a81
13128bc127728
14809dcd14c1
1544d8619bb4
hex26bac08681

166341936769 has 16 divisors (see below), whose sum is σ = 172166265936. Its totient is φ = 160603264000.

The previous prime is 166341936757. The next prime is 166341936793. The reversal of 166341936769 is 967639143661.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5039296144 + 161302640625 = 70988^2 + 401625^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-166341936769 is a prime.

It is a super-3 number, since 3×1663419367693 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166341936469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10249149 + ... + 10265365.

It is an arithmetic number, because the mean of its divisors is an integer number (10760391621).

Almost surely, 2166341936769 is an apocalyptic number.

It is an amenable number.

166341936769 is a deficient number, since it is larger than the sum of its proper divisors (5824329167).

166341936769 is a wasteful number, since it uses less digits than its factorization.

166341936769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18836.

The product of its digits is 26453952, while the sum is 61.

The spelling of 166341936769 in words is "one hundred sixty-six billion, three hundred forty-one million, nine hundred thirty-six thousand, seven hundred sixty-nine".

Divisors: 1 41 101 2477 4141 16217 101557 250177 664897 1637917 10257257 40169509 67154597 1646949869 4057120409 166341936769