Search a number
-
+
81521175312 = 2432566119273
BaseRepresentation
bin100101111101100001…
…0100110101100010000
321210102100110210020100
41023323002212230100
52313423410102222
6101241133412400
75614112362023
oct1137302465420
9253370423210
1081521175312
113163363a665
121397133a100
1378c232c455
143d34bd11ba
1521c1cec4ac
hex12fb0a6b10

81521175312 has 30 divisors (see below), whose sum is σ = 228146067422. Its totient is φ = 27173725056.

The previous prime is 81521175311. The next prime is 81521175313. The reversal of 81521175312 is 21357112518.

81521175312 is a `hidden beast` number, since 8 + 1 + 5 + 2 + 117 + 531 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (81521175311) and next prime (81521175313).

It can be written as a sum of positive squares in only one way, i.e., 68667057936 + 12854117376 = 262044^2 + 113376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (81521175311) 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 5 ways as a sum of consecutive naturals, for example, 283059493 + ... + 283059780.

Almost surely, 281521175312 is an apocalyptic number.

It is an amenable number.

81521175312 is an abundant number, since it is smaller than the sum of its proper divisors (146624892110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81521175312 is a wasteful number, since it uses less digits than its factorization.

81521175312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566119287 (or 566119278 counting only the distinct ones).

The product of its digits is 16800, while the sum is 36.

The spelling of 81521175312 in words is "eighty-one billion, five hundred twenty-one million, one hundred seventy-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 566119273 1132238546 1698357819 2264477092 3396715638 4528954184 5095073457 6793431276 9057908368 10190146914 13586862552 20380293828 27173725104 40760587656 81521175312