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161834830369 = 1923126832
BaseRepresentation
bin1001011010111000011…
…0111000101000100001
3120110201112210012002021
42112232012320220201
510122414204032434
6202202414021441
714456263234612
oct2265606705041
9513645705067
10161834830369
11626a75a73a3
12274461a7881
1312351433474
147b93495c09
154322ac5cb4
hex25ae1b8a21

161834830369 has 27 divisors (see below), whose sum is σ = 176746962609. Its totient is φ = 148154256360.

The previous prime is 161834830301. The next prime is 161834830441. The reversal of 161834830369 is 963038438161.

It is a happy number.

The square root of 161834830369 is 402287.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 161834830369 - 29 = 161834829857 is a prime.

It is a super-2 number, since 2×1618348303692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (161834830669) 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 26 ways as a sum of consecutive naturals, for example, 236946702 + ... + 236947384.

Almost surely, 2161834830369 is an apocalyptic number.

161834830369 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

161834830369 is the 402287-th square number.

161834830369 is the 201144-th centered octagonal number.

It is an amenable number.

161834830369 is a deficient number, since it is larger than the sum of its proper divisors (14912132240).

161834830369 is an frugal number, since it uses more digits than its factorization.

161834830369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The spelling of 161834830369 in words is "one hundred sixty-one billion, eight hundred thirty-four million, eight hundred thirty thousand, three hundred sixty-nine".

Divisors: 1 19 31 361 589 683 961 11191 12977 18259 21173 246563 346921 402287 466489 656363 7643453 8863291 12470897 14461159 168402529 236947043 274762021 448295929 5220478399 8517622651 161834830369