Search a number
-
+
5561011101096 = 233211236729315551
BaseRepresentation
bin101000011101100011000…
…0101110101110110101000
3201200121221102110220100200
41100323012011311312220
51212102422320213341
615454405423232200
71112525016304023
oct120730605656650
921617842426320
105561011101096
111854458878260
12759917448660
1331452a295199
1415322385a1ba
15999c472cdb6
hex50ec6175da8

5561011101096 has 384 divisors, whose sum is σ = 17461019197440. Its totient is φ = 1582308288000.

The previous prime is 5561011101091. The next prime is 5561011101101. The reversal of 5561011101096 is 6901011101655.

It is a happy number.

5561011101096 is a `hidden beast` number, since 5 + 5 + 610 + 11 + 10 + 10 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5561011101091) and next prime (5561011101101).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5561011101096.

It is not an unprimeable number, because it can be changed into a prime (5561011101091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357590521 + ... + 357606071.

It is an arithmetic number, because the mean of its divisors is an integer number (45471404160).

Almost surely, 25561011101096 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 5561011101096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8730509598720).

5561011101096 is an abundant number, since it is smaller than the sum of its proper divisors (11900008096344).

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

5561011101096 is a wasteful number, since it uses less digits than its factorization.

5561011101096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15957 (or 15950 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 36.

The spelling of 5561011101096 in words is "five trillion, five hundred sixty-one billion, eleven million, one hundred one thousand, ninety-six".