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4081316820 = 22357217372207
BaseRepresentation
bin1111001101000011…
…1111001111010100
3101112102201101011020
43303100333033110
531324304114240
61512552441140
7203065422600
oct36320771724
911472641136
104081316820
111804884809
1295a9a91b0
13500723289
142aa080500
1518d4890d0
hexf343f3d4

4081316820 has 288 divisors, whose sum is σ = 14462364672. Its totient is φ = 853880832.

The previous prime is 4081316809. The next prime is 4081316849. The reversal of 4081316820 is 286131804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1848157 + ... + 1850363.

It is an arithmetic number, because the mean of its divisors is an integer number (50216544).

Almost surely, 24081316820 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 4081316820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231182336).

4081316820 is an abundant number, since it is smaller than the sum of its proper divisors (10381047852).

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

4081316820 is a wasteful number, since it uses less digits than its factorization.

4081316820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 4081316820 is about 63885.1846674955. The cubic root of 4081316820 is about 1598.0858385085.

The spelling of 4081316820 in words is "four billion, eighty-one million, three hundred sixteen thousand, eight hundred twenty".