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161147741161 = 11311681128111
BaseRepresentation
bin1001011000010100100…
…1110110001111101001
3120101221122220102212211
42112011021312033221
510120012310204121
6202010311205121
714433251125231
oct2260511661751
9511848812784
10161147741161
1162384776080
12272940767a1
1312271c947c4
147b2a11ccc1
1542d2603ce1
hex25852763e9

161147741161 has 16 divisors (see below), whose sum is σ = 181485674496. Its totient is φ = 141758730000.

The previous prime is 161147741149. The next prime is 161147741191.

It is a happy number.

161147741161 is nontrivially palindromic in base 10.

161147741161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 161147741161 - 25 = 161147741129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (161147741191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5718496 + ... + 5746606.

It is an arithmetic number, because the mean of its divisors is an integer number (11342854656).

Almost surely, 2161147741161 is an apocalyptic number.

161147741161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

161147741161 is a deficient number, since it is larger than the sum of its proper divisors (20337933335).

161147741161 is a wasteful number, since it uses less digits than its factorization.

161147741161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44964.

The product of its digits is 28224, while the sum is 40.

The spelling of 161147741161 in words is "one hundred sixty-one billion, one hundred forty-seven million, seven hundred forty-one thousand, one hundred sixty-one".

Divisors: 1 11 31 341 16811 28111 184921 309221 521141 871441 5732551 9585851 472574021 5198314231 14649794651 161147741161