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81254154240 = 221335741
BaseRepresentation
bin100101110101100100…
…0000000000000000000
321202201202000201012000
41023223020000000000
52312402030413430
6101154434304000
75604360625650
oct1135310000000
9252652021160
1081254154240
1131506940796
12138b7a28000
13787bc0a50c
143d0b564360
1521a8654e60
hex12eb200000

81254154240 has 704 divisors, whose sum is σ = 338228593920. Its totient is φ = 18119393280.

The previous prime is 81254154239. The next prime is 81254154259. The reversal of 81254154240 is 4245145218.

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

It is a junction number, because it is equal to n+sod(n) for n = 81254154195 and 81254154204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1981808620 + ... + 1981808660.

Almost surely, 281254154240 is an apocalyptic number.

81254154240 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 81254154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169114296960).

81254154240 is an abundant number, since it is smaller than the sum of its proper divisors (256974439680).

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

81254154240 is an frugal number, since it uses more digits than its factorization.

81254154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 81254154240 its reverse (4245145218), we get a palindrome (85499299458).

The spelling of 81254154240 in words is "eighty-one billion, two hundred fifty-four million, one hundred fifty-four thousand, two hundred forty".