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81274548096 = 27337293137101
BaseRepresentation
bin100101110110001010…
…1110010111110000000
321202210011101211022000
41023230111302332000
52312422241014341
6101200443344000
75605026155160
oct1135425627600
9252704354260
1081274548096
11315173aaa15
1213902822000
1378831caca1
143d101525a0
1521aa3328b6
hex12ec572f80

81274548096 has 1024 divisors, whose sum is σ = 303630336000. Its totient is φ = 20901888000.

The previous prime is 81274548077. The next prime is 81274548211. The reversal of 81274548096 is 69084547218.

It is a happy number.

81274548096 is a `hidden beast` number, since 8 + 1 + 2 + 7 + 4 + 548 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 804698446 + ... + 804698546.

It is an arithmetic number, because the mean of its divisors is an integer number (296514000).

Almost surely, 281274548096 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 81274548096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151815168000).

81274548096 is an abundant number, since it is smaller than the sum of its proper divisors (222355787904).

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

81274548096 is a wasteful number, since it uses less digits than its factorization.

81274548096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 81274548096 in words is "eighty-one billion, two hundred seventy-four million, five hundred forty-eight thousand, ninety-six".