Search a number
-
+
5385665835 = 3351122911369
BaseRepresentation
bin1010000010000001…
…01011110100101011
3111220100002011122000
411001000223310223
542012212301320
62250225302043
7250314255444
oct50100536453
914810064560
105385665835
112314082500
121063794923
1367aa21924
143913b42cb
15217c37c90
hex14102bd2b

5385665835 has 96 divisors (see below), whose sum is σ = 10887912000. Its totient is φ = 2520967680.

The previous prime is 5385665833. The next prime is 5385665837.

5385665835 is a `hidden beast` number, since 5 + 3 + 8 + 56 + 6 + 583 + 5 = 666.

5385665835 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5385665833) and next prime (5385665837).

It is not a de Polignac number, because 5385665835 - 21 = 5385665833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5385665833) 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, 468031 + ... + 479399.

It is an arithmetic number, because the mean of its divisors is an integer number (113415750).

Almost surely, 25385665835 is an apocalyptic number.

5385665835 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5385665835 is an abundant number, since it is smaller than the sum of its proper divisors (5502246165).

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

5385665835 is a wasteful number, since it uses less digits than its factorization.

5385665835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11434 (or 11417 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The square root of 5385665835 is about 73387.0958343495. The cubic root of 5385665835 is about 1752.8569209465.

The spelling of 5385665835 in words is "five billion, three hundred eighty-five million, six hundred sixty-five thousand, eight hundred thirty-five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 87 99 121 135 145 165 261 297 319 363 435 495 605 783 957 1089 1305 1485 1595 1815 2871 3267 3509 3915 4785 5445 8613 10527 11369 14355 16335 17545 31581 34107 43065 52635 56845 94743 102321 125059 157905 170535 306963 329701 375177 473715 511605 625295 989103 1125531 1375649 1534815 1648505 1875885 2967309 3376593 3626711 4126947 4945515 5627655 6878245 8901927 10880133 12380841 14836545 16882965 18133555 20634735 32640399 37142523 39893821 44509635 54400665 61904205 97921197 119681463 163201995 185712615 199469105 359044389 489605985 598407315 1077133167 1795221945 5385665835