Search a number
-
+
5764757985 = 3357193110357
BaseRepresentation
bin1010101111001101…
…10011100111100001
3112212202102001022000
411113212303213201
543301234223420
62352010434213
7262566430410
oct52746634741
915782361260
105764757985
112499067aa8
12114a732969
1370b4227cc
143c9895477
1523b16b690
hex1579b39e1

5764757985 has 128 divisors (see below), whose sum is σ = 12727910400. Its totient is φ = 2415847680.

The previous prime is 5764757983. The next prime is 5764758029. The reversal of 5764757985 is 5897574675.

5764757985 is a `hidden beast` number, since 5 + 76 + 475 + 7 + 98 + 5 = 666.

It is not a de Polignac number, because 5764757985 - 21 = 5764757983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5764757983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 551427 + ... + 561783.

It is an arithmetic number, because the mean of its divisors is an integer number (99436800).

Almost surely, 25764757985 is an apocalyptic number.

It is an amenable number.

5764757985 is an abundant number, since it is smaller than the sum of its proper divisors (6963152415).

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

5764757985 is a wasteful number, since it uses less digits than its factorization.

5764757985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10428 (or 10422 counting only the distinct ones).

The product of its digits is 74088000, while the sum is 63.

The square root of 5764757985 is about 75926.0033519479. The cubic root of 5764757985 is about 1793.0553381644.

The spelling of 5764757985 in words is "five billion, seven hundred sixty-four million, seven hundred fifty-seven thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 19 21 27 31 35 45 57 63 93 95 105 133 135 155 171 189 217 279 285 315 399 465 513 589 651 665 837 855 945 1085 1197 1395 1767 1953 1995 2565 2945 3255 3591 4123 4185 5301 5859 5985 8835 9765 10357 12369 15903 17955 20615 26505 29295 31071 37107 51785 61845 72499 79515 93213 111321 155355 185535 196783 217497 279639 321067 362495 466065 556605 590349 652491 963201 983915 1087485 1377481 1398195 1605335 1771047 1957473 2247469 2889603 2951745 3262455 4132443 4816005 5313141 6100273 6742407 6887405 8668809 8855235 9787365 11237345 12397329 14448015 18300819 20227221 20662215 26565705 30501365 33712035 37191987 42701911 43344045 54902457 60681663 61986645 91504095 101136105 128105733 164707371 185959935 213509555 274512285 303408315 384317199 640528665 823536855 1152951597 1921585995 5764757985