Search a number
-
+
6143568336 = 2433292691823
BaseRepresentation
bin1011011100010111…
…10110100111010000
3120212011012121102000
411232023312213100
5100040223141321
62453341554000
7305146316643
oct55613664720
916764177360
106143568336
11267297a904
121235575900
1376ba55349
14423d01a5a
1525e546826
hex16e2f69d0

6143568336 has 160 divisors (see below), whose sum is σ = 18320256000. Its totient is φ = 1968809472.

The previous prime is 6143568317. The next prime is 6143568349. The reversal of 6143568336 is 6338653416.

It is a junction number, because it is equal to n+sod(n) for n = 6143568291 and 6143568300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3369121 + ... + 3370943.

It is an arithmetic number, because the mean of its divisors is an integer number (114501600).

Almost surely, 26143568336 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 6143568336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160128000).

6143568336 is an abundant number, since it is smaller than the sum of its proper divisors (12176687664).

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

6143568336 is a wasteful number, since it uses less digits than its factorization.

6143568336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2126 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 6143568336 is about 78380.9181880386. The cubic root of 6143568336 is about 1831.4998936842.

The spelling of 6143568336 in words is "six billion, one hundred forty-three million, five hundred sixty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 269 348 432 464 522 538 696 783 807 1044 1076 1392 1566 1614 1823 2088 2152 2421 3132 3228 3646 4176 4304 4842 5469 6264 6456 7263 7292 7801 9684 10938 12528 12912 14526 14584 15602 16407 19368 21876 23403 29052 29168 31204 32814 38736 43752 46806 49221 52867 58104 62408 65628 70209 87504 93612 98442 105734 116208 124816 131256 140418 158601 187224 196884 210627 211468 262512 280836 317202 374448 393768 421254 422936 475803 490387 561672 634404 787536 842508 845872 951606 980774 1123344 1268808 1427409 1471161 1685016 1903212 1961548 2537616 2854818 2942322 3370032 3806424 3923096 4413483 5709636 5884644 7612848 7846192 8826966 11419272 11769288 13240449 14221223 17653932 22838544 23538576 26480898 28442446 35307864 42663669 52961796 56884892 70615728 85327338 105923592 113769784 127991007 170654676 211847184 227539568 255982014 341309352 383973021 511964028 682618704 767946042 1023928056 1535892084 2047856112 3071784168 6143568336