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169404961 = 1129771433
BaseRepresentation
bin10100001100011…
…10101000100001
3102210202122220211
422012032220201
5321331424321
624450534121
74124630005
oct1206165041
9383678824
10169404961
1187696500
1248897341
132913452b
14186da705
15ed140e1
hexa18ea21

169404961 has 12 divisors (see below), whose sum is σ = 186526116. Its totient is φ = 153739520.

The previous prime is 169404943. The next prime is 169404973.

169404961 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 150430225 + 18974736 = 12265^2 + 4356^2 .

It is not a de Polignac number, because 169404961 - 29 = 169404449 is a prime.

It is a super-2 number, since 2×1694049612 = 57396081622823042, which contains 22 as substring.

It is a Duffinian number.

169404961 is a modest number, since divided by 4961 gives 1694 as remainder.

It is not an unprimeable number, because it can be changed into a prime (169404941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117501 + ... + 118933.

It is an arithmetic number, because the mean of its divisors is an integer number (15543843).

Almost surely, 2169404961 is an apocalyptic number.

169404961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

169404961 is a deficient number, since it is larger than the sum of its proper divisors (17121155).

169404961 is a wasteful number, since it uses less digits than its factorization.

169404961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 169404961 is about 13015.5661037083. The cubic root of 169404961 is about 553.3187342723.

The spelling of 169404961 in words is "one hundred sixty-nine million, four hundred four thousand, nine hundred sixty-one".

Divisors: 1 11 121 977 1433 10747 15763 118217 173393 1400041 15400451 169404961