Search a number
-
+
12633411120 = 2435114785383
BaseRepresentation
bin10111100010000001…
…01000111000110000
31012121102222210001120
423301000220320300
5201333123123440
65445333502240
7625032136251
oct136100507060
935542883046
1012633411120
1153a325a840
122546aa1980
13126445abc5
1487bbc0b28
154de18cdd0
hex2f1028e30

12633411120 has 80 divisors (see below), whose sum is σ = 42723908352. Its totient is φ = 3062644480.

The previous prime is 12633411101. The next prime is 12633411149. The reversal of 12633411120 is 2111433621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2390052 + ... + 2395331.

Almost surely, 212633411120 is an apocalyptic number.

12633411120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12633411120 is an abundant number, since it is smaller than the sum of its proper divisors (30090497232).

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

12633411120 is a wasteful number, since it uses less digits than its factorization.

12633411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785410 (or 4785404 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12633411120 its reverse (2111433621), we get a palindrome (14744844741).

The spelling of 12633411120 in words is "twelve billion, six hundred thirty-three million, four hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4785383 9570766 14356149 19141532 23926915 28712298 38283064 47853830 52639213 57424596 71780745 76566128 95707660 105278426 114849192 143561490 157917639 191415320 210556852 229698384 263196065 287122980 315835278 382830640 421113704 526392130 574245960 631670556 789588195 842227408 1052784260 1148491920 1263341112 1579176390 2105568520 2526682224 3158352780 4211137040 6316705560 12633411120