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8461387341 = 3211241189509
BaseRepresentation
bin1111110000101011…
…01000011001001101
3210211200121000100100
413320111220121031
5114312103343331
63515340521313
7416452414521
oct77025503115
923750530310
108461387341
113652261600
121781850239
13a4acc8c94
145a3a8bd81
15347c87ae6
hex1f856864d

8461387341 has 36 divisors (see below), whose sum is σ = 13761837180. Its totient is φ = 5003011200.

The previous prime is 8461387327. The next prime is 8461387367. The reversal of 8461387341 is 1437831648.

It can be written as a sum of positive squares in 2 ways, for example, as 345179241 + 8116208100 = 18579^2 + 90090^2 .

It is a de Polignac number, because none of the positive numbers 2k-8461387341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8461387541) 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 35 ways as a sum of consecutive naturals, for example, 50106 + ... + 139403.

It is an arithmetic number, because the mean of its divisors is an integer number (382273255).

Almost surely, 28461387341 is an apocalyptic number.

It is an amenable number.

8461387341 is a deficient number, since it is larger than the sum of its proper divisors (5300449839).

8461387341 is a wasteful number, since it uses less digits than its factorization.

8461387341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189578 (or 189564 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 8461387341 is about 91985.7996703839. The cubic root of 8461387341 is about 2037.7325939495.

The spelling of 8461387341 in words is "eight billion, four hundred sixty-one million, three hundred eighty-seven thousand, three hundred forty-one".

Divisors: 1 3 9 11 33 41 99 121 123 363 369 451 1089 1353 4059 4961 14883 44649 189509 568527 1705581 2084599 6253797 7769869 18761391 22930589 23309607 68791767 69928821 85468559 206375301 256405677 769217031 940154149 2820462447 8461387341