Search a number
-
+
5364004635 = 3251189313389
BaseRepresentation
bin1001111111011100…
…00011011100011011
3111211211022200001100
410333232003130123
541441141122020
62244133122443
7246632200323
oct47756033433
914754280040
105364004635
112302928090
121058489423
136763a9352
1438c576283
15215da9a90
hex13fb8371b

5364004635 has 96 divisors (see below), whose sum is σ = 10316030400. Its totient is φ = 2556702720.

The previous prime is 5364004601. The next prime is 5364004637.

5364004635 is a `hidden beast` number, since 5 + 3 + 640 + 0 + 4 + 6 + 3 + 5 = 666.

5364004635 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5364004635 - 27 = 5364004507 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5364004635.

It is not an unprimeable number, because it can be changed into a prime (5364004637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13789021 + ... + 13789409.

It is an arithmetic number, because the mean of its divisors is an integer number (107458650).

Almost surely, 25364004635 is an apocalyptic number.

5364004635 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5364004635 is a deficient number, since it is larger than the sum of its proper divisors (4952025765).

5364004635 is a wasteful number, since it uses less digits than its factorization.

5364004635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 5364004635 is about 73239.3653372283. The cubic root of 5364004635 is about 1750.5037608222.

The spelling of 5364004635 in words is "five billion, three hundred sixty-four million, four thousand, six hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 89 99 165 267 313 389 445 495 801 939 979 1167 1335 1565 1945 2817 2937 3443 3501 4005 4279 4695 4895 5835 8811 10329 12837 14085 14685 17215 17505 21395 27857 30987 34621 38511 44055 51645 64185 83571 103863 121757 139285 154935 173105 192555 250713 306427 311589 365271 380831 417855 519315 608785 919281 1095813 1142493 1253565 1339327 1532135 1557945 1826355 1904155 2757843 3427479 4017981 4596405 5479065 5712465 6696635 10836373 12053943 13789215 17137395 20089905 32509119 54181865 60269715 97527357 119200103 162545595 357600309 487636785 596000515 1072800927 1788001545 5364004635