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169453354961 = 11181190144771
BaseRepresentation
bin1001110111010000110…
…1001111111111010001
3121012101111101100002202
42131310031033333101
510234020024324321
6205502405252545
715146132515562
oct2356415177721
9535344340082
10169453354961
1165957001710
1228a11704155
1312c9691c997
1482b721c169
15461b86b70b
hex277434ffd1

169453354961 has 16 divisors (see below), whose sum is σ = 185981455296. Its totient is φ = 153113400000.

The previous prime is 169453354949. The next prime is 169453354963.

169453354961 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 169453354961 - 26 = 169453354897 is a prime.

It is a super-3 number, since 3×1694533549613 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 169453354897 and 169453354906.

It is not an unprimeable number, because it can be changed into a prime (169453354963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3762506 + ... + 3807276.

It is an arithmetic number, because the mean of its divisors is an integer number (11623840956).

Almost surely, 2169453354961 is an apocalyptic number.

169453354961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

169453354961 is a deficient number, since it is larger than the sum of its proper divisors (16528100335).

169453354961 is a wasteful number, since it uses less digits than its factorization.

169453354961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46864.

The product of its digits is 10497600, while the sum is 56.

The spelling of 169453354961 in words is "one hundred sixty-nine billion, four hundred fifty-three million, three hundred fifty-four thousand, nine hundred sixty-one".

Divisors: 1 11 181 1901 1991 20911 44771 344081 492481 3784891 8103551 85109671 89139061 936206381 15404850451 169453354961