Search a number
-
+
11628489780 = 22325611059061
BaseRepresentation
bin10101101010001110…
…01010110000110100
31010000102001111010200
422311013022300310
5142303343133110
65201514520500
7561110350365
oct126507126064
933012044120
1011628489780
114a27a85536
122306436130
1311341b99ab
147c4551b6c
15480d386c0
hex2b51cac34

11628489780 has 72 divisors (see below), whose sum is σ = 35851366824. Its totient is φ = 3050092800.

The previous prime is 11628489739. The next prime is 11628489781. The reversal of 11628489780 is 8798482611.

11628489780 is a `hidden beast` number, since 1 + 1 + 628 + 4 + 8 + 9 + 7 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 213276816 + 11415212964 = 14604^2 + 106842^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11628489781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518551 + ... + 540510.

Almost surely, 211628489780 is an apocalyptic number.

11628489780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11628489780 is an abundant number, since it is smaller than the sum of its proper divisors (24222877044).

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

11628489780 is a wasteful number, since it uses less digits than its factorization.

11628489780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059137 (or 1059132 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 11628489780 in words is "eleven billion, six hundred twenty-eight million, four hundred eighty-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 1059061 2118122 3177183 4236244 5295305 6354366 9531549 10590610 12708732 15885915 19063098 21181220 31771830 38126196 47657745 63543660 64602721 95315490 129205442 190630980 193808163 258410884 323013605 387616326 581424489 646027210 775232652 969040815 1162848978 1292054420 1938081630 2325697956 2907122445 3876163260 5814244890 11628489780