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55091247336 = 233817292129
BaseRepresentation
bin110011010011101100…
…011011100011101000
312021012101220100000000
4303103230123203220
51400311324403321
641150352343000
73660132606306
oct632354334350
9167171810000
1055091247336
1121400633584
12a815b44a60
13526c799208
142948985276
151676822826
hexcd3b1b8e8

55091247336 has 288 divisors, whose sum is σ = 169786773000. Its totient is φ = 16679706624.

The previous prime is 55091247317. The next prime is 55091247359. The reversal of 55091247336 is 63374219055.

55091247336 is a `hidden beast` number, since 550 + 9 + 1 + 24 + 73 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48184640100 + 6906607236 = 219510^2 + 83106^2 .

It is a super-3 number, since 3×550912473363 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55091247291 and 55091247300.

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 71 ways as a sum of consecutive naturals, for example, 25875520 + ... + 25877648.

Almost surely, 255091247336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55091247336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84893386500).

55091247336 is an abundant number, since it is smaller than the sum of its proper divisors (114695525664).

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

55091247336 is a wasteful number, since it uses less digits than its factorization.

55091247336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 55091247336 in words is "fifty-five billion, ninety-one million, two hundred forty-seven thousand, three hundred thirty-six".