Search a number
-
+
5386672564 = 22713172932971
BaseRepresentation
bin1010000010001001…
…00001100110110100
3111220101222022121021
411001010201212310
542012442010224
62250303030524
7250325650510
oct50104414664
914811868537
105386672564
1123146aa909
121063b9b444
1367acb4c20
14391597140
15217d861e4
hex1411219b4

5386672564 has 96 divisors (see below), whose sum is σ = 12330614016. Its totient is φ = 1998120960.

The previous prime is 5386672531. The next prime is 5386672567. The reversal of 5386672564 is 4652766835.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5386672567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1811599 + ... + 1814569.

It is an arithmetic number, because the mean of its divisors is an integer number (128443896).

Almost surely, 25386672564 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 5386672564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165307008).

5386672564 is an abundant number, since it is smaller than the sum of its proper divisors (6943941452).

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

5386672564 is a wasteful number, since it uses less digits than its factorization.

5386672564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3303 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 52.

The square root of 5386672564 is about 73393.9545466791. The cubic root of 5386672564 is about 1752.9661331904.

The spelling of 5386672564 in words is "five billion, three hundred eighty-six million, six hundred seventy-two thousand, five hundred sixty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 293 364 442 476 586 884 1172 1547 2051 2971 3094 3809 4102 4981 5942 6188 7618 8204 9962 11884 15236 19924 20797 26663 34867 38623 41594 50507 53326 64753 69734 77246 83188 101014 106652 129506 139468 154492 202028 259012 270361 353549 453271 540722 656591 707098 870503 906542 1081444 1313182 1414196 1741006 1813084 2626364 3482012 4596137 6093521 9192274 11316539 12187042 14798551 18384548 22633078 24374084 29597102 45266156 59194204 79215773 103589857 158431546 192381163 207179714 316863092 384762326 414359428 769524652 1346668141 2693336282 5386672564