Search a number
-
+
6480857832 = 2334359163653
BaseRepresentation
bin1100000100100101…
…00000101011101000
3121201122212200121120
412002102200223220
5101233044422312
62551031135240
7316413245151
oct60222405350
917648780546
106480857832
112826303459
12130a514520
137c38ab027
14456a20928
1527de6e28c
hex1824a0ae8

6480857832 has 128 divisors (see below), whose sum is σ = 16989350400. Its totient is φ = 2058400512.

The previous prime is 6480857819. The next prime is 6480857833. The reversal of 6480857832 is 2387580846.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6480857833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9924418 + ... + 9925070.

It is an arithmetic number, because the mean of its divisors is an integer number (132729300).

Almost surely, 26480857832 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 6480857832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8494675200).

6480857832 is an abundant number, since it is smaller than the sum of its proper divisors (10508492568).

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

6480857832 is a wasteful number, since it uses less digits than its factorization.

6480857832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The square root of 6480857832 is about 80503.7752655116. The cubic root of 6480857832 is about 1864.4217679508.

The spelling of 6480857832 in words is "six billion, four hundred eighty million, eight hundred fifty-seven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 59 86 118 129 163 172 177 236 258 326 344 354 472 489 516 652 653 708 978 1032 1304 1306 1416 1956 1959 2537 2612 3912 3918 5074 5224 7009 7611 7836 9617 10148 14018 15222 15672 19234 20296 21027 28036 28079 28851 30444 38468 38527 42054 56072 56158 57702 60888 76936 77054 84108 84237 106439 112316 115404 115581 154108 168216 168474 212878 224632 230808 231162 308216 319317 336948 413531 425756 462324 638634 673896 827062 851512 924648 1240593 1277268 1654124 1656661 2481186 2554536 3308248 3313322 4576877 4962372 4969983 6279901 6626644 9153754 9924744 9939966 12559802 13253288 13730631 18307508 18839703 19879932 25119604 27461262 36615016 37679406 39759864 50239208 54922524 75358812 109845048 150717624 270035743 540071486 810107229 1080142972 1620214458 2160285944 3240428916 6480857832