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81014513580 = 22365721113261
BaseRepresentation
bin100101101110011010…
…1110101111110101100
321202010001002201000000
41023130311311332230
52311404203413310
6101114554104300
75565421001100
oct1133465657654
9252101081000
1081014513580
11313a3643160
121384b71b090
137841384100
143cc77c3900
1521925ba4c0
hex12dcd75fac

81014513580 has 1512 divisors, whose sum is σ = 356261041584. Its totient is φ = 15284505600.

The previous prime is 81014513563. The next prime is 81014513599. The reversal of 81014513580 is 8531541018.

81014513580 is a `hidden beast` number, since 8 + 10 + 14 + 51 + 3 + 580 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1328106750 + ... + 1328106810.

It is an arithmetic number, because the mean of its divisors is an integer number (235622382).

Almost surely, 281014513580 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 81014513580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178130520792).

81014513580 is an abundant number, since it is smaller than the sum of its proper divisors (275246528004).

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

81014513580 is a wasteful number, since it uses less digits than its factorization.

81014513580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 81014513580 in words is "eighty-one billion, fourteen million, five hundred thirteen thousand, five hundred eighty".