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82632125140 = 2254131606257
BaseRepresentation
bin100110011110101000…
…0100010101011010100
321220021202220212220021
41030331100202223110
52323212311001030
6101543301114524
75653462321555
oct1147520425324
9256252825807
1082632125140
1132053753714
12140213b8a44
137a3b545106
143ddc58032c
1522395e797a
hex133d422ad4

82632125140 has 12 divisors (see below), whose sum is σ = 173527462836. Its totient is φ = 33052850048.

The previous prime is 82632125083. The next prime is 82632125141. The reversal of 82632125140 is 4152123628.

It can be written as a sum of positive squares in 2 ways, for example, as 15412229316 + 67219895824 = 124146^2 + 259268^2 .

It is a super-3 number, since 3×826321251403 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82632125096 and 82632125105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82632125141) 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 3 ways as a sum of consecutive naturals, for example, 2065803109 + ... + 2065803148.

It is an arithmetic number, because the mean of its divisors is an integer number (14460621903).

Almost surely, 282632125140 is an apocalyptic number.

It is an amenable number.

82632125140 is an abundant number, since it is smaller than the sum of its proper divisors (90895337696).

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

82632125140 is a wasteful number, since it uses less digits than its factorization.

82632125140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131606266 (or 4131606264 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

Adding to 82632125140 its reverse (4152123628), we get a palindrome (86784248768).

The spelling of 82632125140 in words is "eighty-two billion, six hundred thirty-two million, one hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 4131606257 8263212514 16526425028 20658031285 41316062570 82632125140