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16159240161 = 32423732
BaseRepresentation
bin11110000110010101…
…00110111111100001
31112201011110110020100
433003022212333201
5231043231141121
611231244333013
71111304163231
oct170312467741
945634413210
1016159240161
116942519339
12316b844169
1316a6a6bb8c
14ad4183cc1
1564899d026
hex3c32a6fe1

16159240161 has 9 divisors (see below), whose sum is σ = 23341675539. Its totient is φ = 10772572536.

The previous prime is 16159240147. The next prime is 16159240183. The reversal of 16159240161 is 16104295161.

The square root of 16159240161 is 127119.

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

16159240161 is a `hidden beast` number, since 1 + 6 + 1 + 592 + 4 + 0 + 1 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 920819025 + 15238421136 = 30345^2 + 123444^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 16159240161 - 27 = 16159240033 is a prime.

It is a super-2 number, since 2×161592401612 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16159240121) 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 8 ways as a sum of consecutive naturals, for example, 360171 + ... + 402543.

Almost surely, 216159240161 is an apocalyptic number.

16159240161 is the 127119-th square number.

16159240161 is the 63560-th centered octagonal number.

It is an amenable number.

16159240161 is a deficient number, since it is larger than the sum of its proper divisors (7182435378).

16159240161 is an frugal number, since it uses more digits than its factorization.

16159240161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84752 (or 42376 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 16159240161 by its sum of digits (36), we get a square (581732645796 = 7627142).

The spelling of 16159240161 in words is "sixteen billion, one hundred fifty-nine million, two hundred forty thousand, one hundred sixty-one".

Divisors: 1 3 9 42373 127119 381357 1795471129 5386413387 16159240161