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81150110496 = 2536721343127
BaseRepresentation
bin100101110010011101…
…1000110101100100000
321202110111020202000000
41023210323012230200
52312143412013441
6101140240300000
75601655362300
oct1134473065440
9252414222000
1081150110496
1131463138124
1213889011600
1378634ac280
143cdb7dd600
15219e4522b6
hex12e4ec6b20

81150110496 has 1008 divisors, whose sum is σ = 309475482624. Its totient is φ = 20739898368.

The previous prime is 81150110449. The next prime is 81150110497. The reversal of 81150110496 is 69401105118.

It is a happy number.

81150110496 is a `hidden beast` number, since 8 + 1 + 1 + 50 + 110 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 81150110496.

It is not an unprimeable number, because it can be changed into a prime (81150110497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 638977185 + ... + 638977311.

It is an arithmetic number, because the mean of its divisors is an integer number (307019328).

Almost surely, 281150110496 is an apocalyptic number.

81150110496 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81150110496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154737741312).

81150110496 is an abundant number, since it is smaller than the sum of its proper divisors (228325372128).

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

81150110496 is a wasteful number, since it uses less digits than its factorization.

81150110496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 81150110496 in words is "eighty-one billion, one hundred fifty million, one hundred ten thousand, four hundred ninety-six".