Search a number
-
+
5735385108 = 223210912011217
BaseRepresentation
bin1010101011101101…
…10000100000010100
3112210201010202021200
411111312300200110
543221224310413
62345041112500
7262061653245
oct52566604024
915721122250
105735385108
1124835257a2
121140928730
1370530a0cb
143c5a0accc
152387b8573
hex155db0814

5735385108 has 72 divisors (see below), whose sum is σ = 14655000360. Its totient is φ = 1891123200.

The previous prime is 5735385083. The next prime is 5735385157. The reversal of 5735385108 is 8015835375.

5735385108 is a `hidden beast` number, since 5 + 7 + 3 + 538 + 5 + 108 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8225424 + 5727159684 = 2868^2 + 75678^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4712116 + ... + 4713332.

Almost surely, 25735385108 is an apocalyptic number.

It is an amenable number.

5735385108 is an abundant number, since it is smaller than the sum of its proper divisors (8919615252).

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

5735385108 is a wasteful number, since it uses less digits than its factorization.

5735385108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 5735385108 is about 75732.3253835507. The cubic root of 5735385108 is about 1790.0047967579.

The spelling of 5735385108 in words is "five billion, seven hundred thirty-five million, three hundred eighty-five thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1201 1217 1308 1962 2402 2434 3603 3651 3924 4804 4868 7206 7302 10809 10953 14412 14604 21618 21906 43236 43812 130909 132653 261818 265306 392727 397959 523636 530612 785454 795918 1178181 1193877 1461617 1570908 1591836 2356362 2387754 2923234 4384851 4712724 4775508 5846468 8769702 13154553 17539404 26309106 52618212 159316253 318632506 477948759 637265012 955897518 1433846277 1911795036 2867692554 5735385108