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80822167713225 = 32525993412
BaseRepresentation
bin10010011000000111100000…
…100110001011010111001001
3101121011112010211110021101100
4102120013200212023113021
541043142244413310400
6443521105152012013
723011131442304031
oct2230074046132711
9347145124407340
1080822167713225
112383054170a994
129093a64531009
133613661622063
1415d5b570768c1
15952583e37100
hex4981e098b5c9

80822167713225 has 27 divisors (see below), whose sum is σ = 144761724150069. Its totient is φ = 43105084192800.

The previous prime is 80822167713223. The next prime is 80822167713239. The reversal of 80822167713225 is 52231776122808.

The square root of 80822167713225 is 8990115.

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

80822167713225 is a `hidden beast` number, since 80 + 82 + 2 + 167 + 7 + 1 + 322 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16084824126921 + 64737343586304 = 4010589^2 + 8045952^2 .

It is not a de Polignac number, because 80822167713225 - 21 = 80822167713223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (80822167713223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 134552055 + ... + 135151395.

Almost surely, 280822167713225 is an apocalyptic number.

80822167713225 is the 8990115-th square number.

80822167713225 is the 4495058-th centered octagonal number.

It is an amenable number.

80822167713225 is a deficient number, since it is larger than the sum of its proper divisors (63939556436844).

80822167713225 is an frugal number, since it uses more digits than its factorization.

80822167713225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198698 (or 599349 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 80822167713225 in words is "eighty trillion, eight hundred twenty-two billion, one hundred sixty-seven million, seven hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 599341 1798023 2996705 5394069 8990115 14983525 26970345 44950575 134851725 359209634281 1077628902843 1796048171405 3232886708529 5388144514215 8980240857025 16164433542645 26940722571075 80822167713225