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169433334961 = 1179907214967
BaseRepresentation
bin1001110111001100000…
…0111000010010110001
3121012100002201012211021
42131303000320102301
510233444413204321
6205500412215441
715145500404332
oct2356300702261
9535302635737
10169433334961
1165946778360
1228a06a6a581
1312c92730427
1482b46ca289
154619c14941
hex27730384b1

169433334961 has 16 divisors (see below), whose sum is σ = 187383306240. Its totient is φ = 151912172880.

The previous prime is 169433334949. The next prime is 169433334991.

169433334961 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-169433334961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 169433334899 and 169433334908.

It is not an unprimeable number, because it can be changed into a prime (169433334991) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 680700 + ... + 895666.

It is an arithmetic number, because the mean of its divisors is an integer number (11711456640).

Almost surely, 2169433334961 is an apocalyptic number.

169433334961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

169433334961 is a deficient number, since it is larger than the sum of its proper divisors (17949971279).

169433334961 is a wasteful number, since it uses less digits than its factorization.

169433334961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215964.

The product of its digits is 3779136, while the sum is 52.

The spelling of 169433334961 in words is "one hundred sixty-nine billion, four hundred thirty-three million, three hundred thirty-four thousand, nine hundred sixty-one".

Divisors: 1 11 79 869 907 9977 71653 214967 788183 2364637 16982393 186806323 194975069 2144725759 15403030451 169433334961