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81040654941120 = 26335719312274971
BaseRepresentation
bin10010011011010010111111…
…011100110011101111000000
3101121221102002120201102221000
4102123102333130303233000
541110232230131103440
6444205321331332000
723032664656143450
oct2233227734635700
9347842076642830
1081040654941120
112390516aa97026
12910a27b451000
13362b140aa4324
141602562573d60
159580c0408730
hex49b4bf733bc0

81040654941120 has 896 divisors, whose sum is σ = 355026670387200. Its totient is φ = 16982560051200.

The previous prime is 81040654941067. The next prime is 81040654941131. The reversal of 81040654941120 is 2114945604018.

81040654941120 is a `hidden beast` number, since 8 + 1 + 0 + 40 + 6 + 5 + 494 + 112 + 0 = 666.

81040654941120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 34485235 + ... + 36760205.

It is an arithmetic number, because the mean of its divisors is an integer number (396235123200).

Almost surely, 281040654941120 is an apocalyptic number.

81040654941120 is a gapful number since it is divisible by the number (80) 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 81040654941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177513335193600).

81040654941120 is an abundant number, since it is smaller than the sum of its proper divisors (273986015446080).

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

81040654941120 is a wasteful number, since it uses less digits than its factorization.

81040654941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275054 (or 2275038 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 81040654941120 in words is "eighty-one trillion, forty billion, six hundred fifty-four million, nine hundred forty-one thousand, one hundred twenty".