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8381390405 = 517372664989
BaseRepresentation
bin1111100111001000…
…11101111001000101
3210122010001202011212
413303210131321011
5114131113443110
63503402141205
7414461433353
oct76344357105
923563052155
108381390405
113611092733
12175aab1805
13a3756a10b
145971c67d3
15340c34e05
hex1f391de45

8381390405 has 16 divisors (see below), whose sum is σ = 10937118960. Its totient is φ = 6140132352.

The previous prime is 8381390383. The next prime is 8381390419. The reversal of 8381390405 is 5040931838.

8381390405 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 622951681 + 7758438724 = 24959^2 + 88082^2 .

It is not a de Polignac number, because 8381390405 - 216 = 8381324869 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 1329350 + ... + 1335639.

It is an arithmetic number, because the mean of its divisors is an integer number (683569935).

Almost surely, 28381390405 is an apocalyptic number.

8381390405 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8381390405 is a deficient number, since it is larger than the sum of its proper divisors (2555728555).

8381390405 is a wasteful number, since it uses less digits than its factorization.

8381390405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665048.

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 8381390405 is about 91549.9339431766. The cubic root of 8381390405 is about 2031.2904350704.

The spelling of 8381390405 in words is "eight billion, three hundred eighty-one million, three hundred ninety thousand, four hundred five".

Divisors: 1 5 17 37 85 185 629 3145 2664989 13324945 45304813 98604593 226524065 493022965 1676278081 8381390405