Search a number
-
+
5683424616 = 2334471811031
BaseRepresentation
bin1010100101100001…
…00010110101101000
3112200002100212220000
411102300202311220
543114424041431
62335543303000
7260561212032
oct52260426550
915602325800
105683424616
112457166041
12112744aa60
136c761655c
143bcb62c52
15233e529e6
hex152c22d68

5683424616 has 160 divisors (see below), whose sum is σ = 16363226880. Its totient is φ = 1842134400.

The previous prime is 5683424597. The next prime is 5683424623. The reversal of 5683424616 is 6164243865.

5683424616 is a `hidden beast` number, since 5 + 6 + 8 + 3 + 4 + 24 + 616 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5512021 + ... + 5513051.

It is an arithmetic number, because the mean of its divisors is an integer number (102270168).

Almost surely, 25683424616 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 5683424616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8181613440).

5683424616 is an abundant number, since it is smaller than the sum of its proper divisors (10679802264).

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

5683424616 is a wasteful number, since it uses less digits than its factorization.

5683424616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1264 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 5683424616 is about 75388.4912702198. The cubic root of 5683424616 is about 1784.5827935331.

The spelling of 5683424616 in words is "five billion, six hundred eighty-three million, four hundred twenty-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 181 188 216 282 324 362 376 423 543 564 648 724 846 1031 1086 1128 1269 1448 1629 1692 2062 2172 2538 3093 3258 3384 3807 4124 4344 4887 5076 6186 6516 7614 8248 8507 9279 9774 10152 12372 13032 14661 15228 17014 18558 19548 24744 25521 27837 29322 30456 34028 37116 39096 48457 51042 55674 58644 68056 74232 76563 83511 96914 102084 111348 117288 145371 153126 167022 186611 193828 204168 222696 229689 290742 306252 334044 373222 387656 436113 459378 559833 581484 612504 668088 689067 746444 872226 918756 1119666 1162968 1308339 1378134 1492888 1679499 1744452 1837512 2239332 2616678 2756268 3358998 3488904 3925017 4478664 5038497 5233356 5512536 6717996 7850034 8770717 10076994 10466712 13435992 15115491 15700068 17541434 20153988 26312151 30230982 31400136 35082868 40307976 52624302 60461964 70165736 78936453 105248604 120923928 157872906 210497208 236809359 315745812 473618718 631491624 710428077 947237436 1420856154 1894474872 2841712308 5683424616