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55565499906 = 234731759997
BaseRepresentation
bin110011101111111101…
…100011111000000010
312022102110021212020000
4303233331203320002
51402244231444111
641305413300430
74004651646000
oct635775437002
9168373255200
1055565499906
1121624304554
12a928934716
135316b07b37
142991957a70
1516a32a1c56
hexceff63e02

55565499906 has 320 divisors, whose sum is σ = 156502368000. Its totient is φ = 14673996288.

The previous prime is 55565499901. The next prime is 55565499907. The reversal of 55565499906 is 60999456555.

55565499906 is a `hidden beast` number, since 5 + 5 + 56 + 5 + 499 + 90 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (55565499901) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 55732200 + ... + 55733196.

It is an arithmetic number, because the mean of its divisors is an integer number (489069900).

Almost surely, 255565499906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55565499906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78251184000).

55565499906 is an abundant number, since it is smaller than the sum of its proper divisors (100936868094).

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

55565499906 is a wasteful number, since it uses less digits than its factorization.

55565499906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 65610000, while the sum is 63.

The spelling of 55565499906 in words is "fifty-five billion, five hundred sixty-five million, four hundred ninety-nine thousand, nine hundred six".