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8464334648 = 2371133141513
BaseRepresentation
bin1111110001000001…
…10111111100111000
3210211220010202021212
413320200313330320
5114313332202043
63515524022252
7416516441330
oct77040677470
923756122255
108464334648
1136539949a0
121782831988
13a4b7bb653
145a42180c0
1534816b018
hex1f8837f38

8464334648 has 64 divisors (see below), whose sum is σ = 19847013120. Its totient is φ = 3287750400.

The previous prime is 8464334647. The next prime is 8464334653.

8464334648 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×84643346482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8464334596 and 8464334605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8464334647) by changing a digit.

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, 183140 + ... + 224652.

It is an arithmetic number, because the mean of its divisors is an integer number (310109580).

Almost surely, 28464334648 is an apocalyptic number.

8464334648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8464334648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9923506560).

8464334648 is an abundant number, since it is smaller than the sum of its proper divisors (11382678472).

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

8464334648 is a wasteful number, since it uses less digits than its factorization.

8464334648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41868 (or 41864 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 50.

The square root of 8464334648 is about 92001.8187211536. The cubic root of 8464334648 is about 2037.9691637579.

The spelling of 8464334648 in words is "eight billion, four hundred sixty-four million, three hundred thirty-four thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 331 616 662 1324 2317 2648 3641 4634 7282 9268 14564 18536 25487 29128 41513 50974 83026 101948 166052 203896 290591 332104 456643 581182 913286 1162364 1826572 2324728 3196501 3653144 6393002 12786004 13740803 25572008 27481606 54963212 96185621 109926424 151148833 192371242 302297666 384742484 604595332 769484968 1058041831 1209190664 2116083662 4232167324 8464334648