Search a number
-
+
81546230808 = 2332722337157173
BaseRepresentation
bin100101111110010001…
…0001011110000011000
321210111002121201220200
41023330202023300120
52314001313341213
6101243430422200
75614535345100
oct1137442136030
9253432551820
1081546230808
11316467a3189
1213979801960
1378c75929a3
143d38274200
1521c40eb273
hex12fc88bc18

81546230808 has 576 divisors, whose sum is σ = 278683104960. Its totient is φ = 21420951552.

The previous prime is 81546230807. The next prime is 81546230851. The reversal of 81546230808 is 80803264518.

81546230808 is a `hidden beast` number, since 8 + 1 + 546 + 23 + 0 + 80 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81546230803) 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 143 ways as a sum of consecutive naturals, for example, 471365410 + ... + 471365582.

It is an arithmetic number, because the mean of its divisors is an integer number (483824835).

Almost surely, 281546230808 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 81546230808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139341552480).

81546230808 is an abundant number, since it is smaller than the sum of its proper divisors (197136874152).

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

81546230808 is a wasteful number, since it uses less digits than its factorization.

81546230808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 81546230808 in words is "eighty-one billion, five hundred forty-six million, two hundred thirty thousand, eight hundred eight".