Search a number
-
+
6181628796 = 22327192634909
BaseRepresentation
bin1011100000111010…
…00010101101111100
3120221210211021112200
411300131002231330
5100124444110141
62501221431500
7306120656250
oct56035025574
916853737480
106181628796
112692406232
12124626b590
137768c0125
14428dac260
15262a63ab6
hex170742b7c

6181628796 has 144 divisors (see below), whose sum is σ = 18873254400. Its totient is φ = 1666521216.

The previous prime is 6181628779. The next prime is 6181628867. The reversal of 6181628796 is 6978261816.

6181628796 is a `hidden beast` number, since 6 + 1 + 8 + 1 + 628 + 7 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1256790 + ... + 1261698.

Almost surely, 26181628796 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 6181628796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9436627200).

6181628796 is an abundant number, since it is smaller than the sum of its proper divisors (12691625604).

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

6181628796 is a wasteful number, since it uses less digits than its factorization.

6181628796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208 (or 5203 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 6181628796 is about 78623.3349330846. The cubic root of 6181628796 is about 1835.2742621293.

The spelling of 6181628796 in words is "six billion, one hundred eighty-one million, six hundred twenty-eight thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 263 266 342 399 526 532 684 789 798 1052 1197 1578 1596 1841 2367 2394 3156 3682 4734 4788 4909 4997 5523 7364 9468 9818 9994 11046 14727 14991 16569 19636 19988 22092 29454 29982 33138 34363 34979 44181 44973 58908 59964 66276 68726 69958 88362 89946 93271 103089 104937 137452 139916 176724 179892 186542 206178 209874 279813 309267 314811 373084 412356 419748 559626 618534 629622 652897 839439 1119252 1237068 1259244 1291067 1305794 1678878 1958691 2582134 2611588 3357756 3873201 3917382 5164268 5876073 7746402 7834764 9037469 11619603 11752146 15492804 18074938 23239206 23504292 24530273 27112407 36149876 46478412 49060546 54224814 73590819 81337221 98121092 108449628 147181638 162674442 171711911 220772457 294363276 325348884 343423822 441544914 515135733 686847644 883089828 1030271466 1545407199 2060542932 3090814398 6181628796