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81010056600 = 233252112433859
BaseRepresentation
bin100101101110010010…
…0110101110110011000
321202002201201021011200
41023130210311312120
52311402033302400
6101114314354200
75565335056014
oct1133444656630
9252081637150
1081010056600
11313a1079600
121384a12b960
137840483545
143cc6d83544
152191ed9b00
hex12dc935d98

81010056600 has 432 divisors, whose sum is σ = 300079361400. Its totient is φ = 19570636800.

The previous prime is 81010056581. The next prime is 81010056601. The reversal of 81010056600 is 665001018.

81010056600 is a `hidden beast` number, since 8 + 1 + 0 + 1 + 0 + 0 + 56 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81010056601) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 94306971 + ... + 94307829.

Almost surely, 281010056600 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 81010056600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150039680700).

81010056600 is an abundant number, since it is smaller than the sum of its proper divisors (219069304800).

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

81010056600 is a wasteful number, since it uses less digits than its factorization.

81010056600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 81010056600 its reverse (665001018), we get a palindrome (81675057618).

The spelling of 81010056600 in words is "eighty-one billion, ten million, fifty-six thousand, six hundred".