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8055331821 = 34462121521
BaseRepresentation
bin1111000000010001…
…01001101111101101
3202210101112020220000
413200020221233231
5112444131104241
63411153414513
7403422122265
oct74010515755
922711466800
108055331821
113464030029
12168986a439
139b4b47344
14565b8c7a5
153222c9eb6
hex1e0229bed

8055331821 has 20 divisors (see below), whose sum is σ = 12036436764. Its totient is φ = 5368809600.

The previous prime is 8055331813. The next prime is 8055331831. The reversal of 8055331821 is 1281335508.

8055331821 is a `hidden beast` number, since 80 + 553 + 3 + 1 + 8 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3577714596 + 4477617225 = 59814^2 + 66915^2 .

It is not a de Polignac number, because 8055331821 - 23 = 8055331813 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8055331831) 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 19 ways as a sum of consecutive naturals, for example, 363541 + ... + 385061.

Almost surely, 28055331821 is an apocalyptic number.

8055331821 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8055331821 is a deficient number, since it is larger than the sum of its proper divisors (3981104943).

8055331821 is a wasteful number, since it uses less digits than its factorization.

8055331821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26154 (or 26145 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 8055331821 is about 89751.5003830020. The cubic root of 8055331821 is about 2004.6003951521.

The spelling of 8055331821 in words is "eight billion, fifty-five million, three hundred thirty-one thousand, eight hundred twenty-one".

Divisors: 1 3 9 27 81 4621 13863 21521 41589 64563 124767 193689 374301 581067 1743201 99448541 298345623 895036869 2685110607 8055331821