Search a number
-
+
11000225472 = 263532394523
BaseRepresentation
bin10100011111010101…
…00001111011000000
31001101121212100112020
422033222201323000
5140012024203342
65015313001440
7536411242125
oct121752417300
931347770466
1011000225472
114735382235
12216bb53280
131063ca6172
14764d2c74c
15445ad60ec
hex28faa1ec0

11000225472 has 112 divisors (see below), whose sum is σ = 29784568320. Its totient is φ = 3581713408.

The previous prime is 11000225459. The next prime is 11000225477. The reversal of 11000225472 is 27452200011.

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

It is not an unprimeable number, because it can be changed into a prime (11000225477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2429803 + ... + 2434325.

Almost surely, 211000225472 is an apocalyptic number.

11000225472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000225472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14892284160).

11000225472 is an abundant number, since it is smaller than the sum of its proper divisors (18784342848).

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

11000225472 is a wasteful number, since it uses less digits than its factorization.

11000225472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

Adding to 11000225472 its reverse (27452200011), we get a palindrome (38452425483).

The spelling of 11000225472 in words is "eleven billion, two hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 239 318 424 478 636 717 848 956 1272 1434 1696 1912 2544 2868 3392 3824 4523 5088 5736 7648 9046 10176 11472 12667 13569 15296 18092 22944 25334 27138 36184 38001 45888 50668 54276 72368 76002 101336 108552 144736 152004 202672 217104 239719 289472 304008 405344 434208 479438 608016 719157 810688 868416 958876 1080997 1216032 1438314 1917752 2161994 2432064 2876628 3242991 3835504 4323988 5753256 6485982 7671008 8647976 11506512 12971964 15342016 17295952 23013024 25943928 34591904 46026048 51887856 57292841 69183808 103775712 114585682 171878523 207551424 229171364 343757046 458342728 687514092 916685456 1375028184 1833370912 2750056368 3666741824 5500112736 11000225472