Search a number
-
+
8664134448 = 2433110953419
BaseRepresentation
bin10000001000110110…
…00011001100110000
3211100211002122002110
420010123003030300
5120221004300243
63551422245320
7424463633124
oct100433031460
924324078073
108664134448
1137467504a2
121819726840
13a81005798
145c2987584
1535a985e33
hex2046c3330

8664134448 has 80 divisors (see below), whose sum is σ = 23316761600. Its totient is φ = 2769189120.

The previous prime is 8664134447. The next prime is 8664134449. The reversal of 8664134448 is 8444314668.

It is an interprime number because it is at equal distance from previous prime (8664134447) and next prime (8664134449).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8664134397 and 8664134406.

It is not an unprimeable number, because it can be changed into a prime (8664134441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135483 + ... + 188901.

It is an arithmetic number, because the mean of its divisors is an integer number (291459520).

Almost surely, 28664134448 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 8664134448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11658380800).

8664134448 is an abundant number, since it is smaller than the sum of its proper divisors (14652627152).

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

8664134448 is a wasteful number, since it uses less digits than its factorization.

8664134448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53570 (or 53564 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The square root of 8664134448 is about 93081.3324356715. The cubic root of 8664134448 is about 2053.8799766918.

It can be divided in two parts, 866 and 4134448, that added together give a palindrome (4135314).

The spelling of 8664134448 in words is "eight billion, six hundred sixty-four million, one hundred thirty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 109 124 186 218 248 327 372 436 496 654 744 872 1308 1488 1744 2616 3379 5232 6758 10137 13516 20274 27032 40548 53419 54064 81096 106838 160257 162192 213676 320514 427352 641028 854704 1282056 1655989 2564112 3311978 4967967 5822671 6623956 9935934 11645342 13247912 17468013 19871868 23290684 26495824 34936026 39743736 46581368 69872052 79487472 93162736 139744104 180502801 279488208 361005602 541508403 722011204 1083016806 1444022408 2166033612 2888044816 4332067224 8664134448