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11289010896 = 24321572811777
BaseRepresentation
bin10101000001110000…
…01010001011010000
31002010202021011122200
422200320022023100
5141104441322041
65104110403200
7546516003132
oct124070121320
932122234580
1011289010896
114873396a79
122230800500
1310aba78607
14791423052
1546112c1b6
hex2a0e0a2d0

11289010896 has 120 divisors (see below), whose sum is σ = 31925888904. Its totient is φ = 3723632640.

The previous prime is 11289010847. The next prime is 11289010897. The reversal of 11289010896 is 69801098211.

It can be written as a sum of positive squares in 4 ways, for example, as 1547320896 + 9741690000 = 39336^2 + 98700^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11289010897) 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, 6351960 + ... + 6353736.

Almost surely, 211289010896 is an apocalyptic number.

11289010896 is a gapful number since it is divisible by the number (16) 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 11289010896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15962944452).

11289010896 is an abundant number, since it is smaller than the sum of its proper divisors (20636878008).

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

11289010896 is a wasteful number, since it uses less digits than its factorization.

11289010896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 11289010896 in words is "eleven billion, two hundred eighty-nine million, ten thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 281 314 471 562 628 843 942 1124 1256 1413 1686 1777 1884 2248 2512 2529 2826 3372 3554 3768 4496 5058 5331 5652 6744 7108 7536 10116 10662 11304 13488 14216 15993 20232 21324 22608 28432 31986 40464 42648 44117 63972 85296 88234 127944 132351 176468 255888 264702 278989 352936 397053 499337 529404 557978 705872 794106 836967 998674 1058808 1115956 1498011 1588212 1673934 1997348 2117616 2231912 2510901 2996022 3176424 3347868 3994696 4463824 4494033 5021802 5992044 6352848 6695736 7989392 8988066 10043604 11984088 13391472 17976132 20087208 23968176 35952264 40174416 71904528 78395909 156791818 235187727 313583636 470375454 627167272 705563181 940750908 1254334544 1411126362 1881501816 2822252724 3763003632 5644505448 11289010896