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54167228082 = 23211249872
BaseRepresentation
bin110010011100100111…
…100100111010110010
312011211000012021212200
4302130213210322302
51341413302244312
640514543404030
73625212561522
oct623447447262
9164730167780
1054167228082
1120a76a96200
12a5b85b3616
135153212b66
14289bd75682
15162064e0dc
hexc9c9e4eb2

54167228082 has 54 divisors (see below), whose sum is σ = 129027439359. Its totient is φ = 16411020120.

The previous prime is 54167228077. The next prime is 54167228119. The reversal of 54167228082 is 28082276145.

54167228082 is a `hidden beast` number, since 5 + 416 + 7 + 228 + 0 + 8 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27083614041 + 27083614041 = 164571^2 + 164571^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=164571.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 10859193 + ... + 10864179.

Almost surely, 254167228082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54167228082

54167228082 is an abundant number, since it is smaller than the sum of its proper divisors (74860211277).

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

54167228082 is an equidigital number, since it uses as much as digits as its factorization.

54167228082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10004 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 54167228082 in words is "fifty-four billion, one hundred sixty-seven million, two hundred twenty-eight thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 4987 9974 14961 29922 44883 54857 89766 109714 164571 329142 493713 603427 987426 1206854 1810281 3620562 5430843 10861686 24870169 49740338 74610507 149221014 223831521 273571859 447663042 547143718 820715577 1641431154 2462146731 3009290449 4924293462 6018580898 9027871347 18055742694 27083614041 54167228082