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80163163161 = 3416321932
BaseRepresentation
bin100101010101000011…
…0001100110000011001
321122220201010121210000
41022222012030300121
52303133232210121
6100454302443213
75535342433644
oct1125206146031
9248821117700
1080163163161
1130aa7019a74
1213652593509
137736b92273
143c466cca5b
15214299d526
hex12aa18cc19

80163163161 has 45 divisors (see below), whose sum is σ = 121116609999. Its totient is φ = 52839039744.

The previous prime is 80163163139. The next prime is 80163163163. The reversal of 80163163161 is 16136136108.

The square root of 80163163161 is 283131.

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

80163163161 is a `hidden beast` number, since 8 + 0 + 1 + 631 + 6 + 3 + 16 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19422603225 + 60740559936 = 139365^2 + 246456^2 .

It is a de Polignac number, because none of the positive numbers 2k-80163163161 is a prime.

It is a super-2 number, since 2×801631631612 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (80163163163) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 415353081 + ... + 415353273.

Almost surely, 280163163161 is an apocalyptic number.

80163163161 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

80163163161 is the 283131-st square number.

80163163161 is the 141566-th centered octagonal number.

It is an amenable number.

80163163161 is a deficient number, since it is larger than the sum of its proper divisors (40953446838).

80163163161 is an frugal number, since it uses more digits than its factorization.

80163163161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 80163163161 by its sum of digits (36), we get a square (2885873873796 = 16987862).

Adding to 80163163161 its reverse (16136136108), we get a palindrome (96299299269).

The spelling of 80163163161 in words is "eighty billion, one hundred sixty-three million, one hundred sixty-three thousand, one hundred sixty-one".

Divisors: 1 3 9 27 81 163 193 489 579 1467 1737 4401 5211 13203 15633 26569 31459 37249 79707 94377 111747 239121 283131 335241 717363 849393 1005723 2152089 2548179 3017169 5127817 6071587 15383451 18214761 46150353 54644283 138451059 163932849 415353177 491798547 989668681 2969006043 8907018129 26721054387 80163163161