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8140481676 = 223219107111227
BaseRepresentation
bin1111001010011010…
…11110010010001100
3210000022202022112100
413211031132102030
5113132430403201
63423434435100
7405504644505
oct74515362214
923008668470
108140481676
1134a80a9408
1216b2292a90
139c968b782
145731d5bac
153299e9886
hex1e535e48c

8140481676 has 72 divisors (see below), whose sum is σ = 21862975680. Its totient is φ = 2546630496.

The previous prime is 8140481647. The next prime is 8140481677. The reversal of 8140481676 is 6761840418.

8140481676 is a `hidden beast` number, since 81 + 404 + 8 + 167 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (8140481677) 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 23 ways as a sum of consecutive naturals, for example, 17575 + ... + 128801.

It is an arithmetic number, because the mean of its divisors is an integer number (303652440).

Almost surely, 28140481676 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 8140481676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10931487840).

8140481676 is an abundant number, since it is smaller than the sum of its proper divisors (13722494004).

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

8140481676 is a wasteful number, since it uses less digits than its factorization.

8140481676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111363 (or 111358 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 8140481676 is about 90224.6179044278. The cubic root of 8140481676 is about 2011.6389424535.

The spelling of 8140481676 in words is "eight billion, one hundred forty million, four hundred eighty-one thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 107 114 171 214 228 321 342 428 642 684 963 1284 1926 2033 3852 4066 6099 8132 12198 18297 24396 36594 73188 111227 222454 333681 444908 667362 1001043 1334724 2002086 2113313 4004172 4226626 6339939 8453252 11901289 12679878 19019817 23802578 25359756 35703867 38039634 47605156 71407734 76079268 107111601 142815468 214223202 226124491 428446404 452248982 678373473 904497964 1356746946 2035120419 2713493892 4070240838 8140481676