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11126323264 = 26727789659
BaseRepresentation
bin10100101110010111…
…00011100001000000
31001201102010210011211
422113023203201000
5140241314321024
65040015415504
7542502121150
oct122713434100
931642123154
1011126323264
11479a579391
1221a6224594
131084156744
14777994760
15451be3594
hex2972e3840

11126323264 has 56 divisors (see below), whose sum is σ = 25324287680. Its totient is φ = 4751156736.

The previous prime is 11126323253. The next prime is 11126323267. The reversal of 11126323264 is 46232362111.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×111263232642 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11126323267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79267 + ... + 168925.

Almost surely, 211126323264 is an apocalyptic number.

11126323264 is a gapful number since it is divisible by the number (14) 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 11126323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12662143840).

11126323264 is an abundant number, since it is smaller than the sum of its proper divisors (14197964416).

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

11126323264 is an equidigital number, since it uses as much as digits as its factorization.

11126323264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89955 (or 89945 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

Adding to 11126323264 its reverse (46232362111), we get a palindrome (57358685375).

The spelling of 11126323264 in words is "eleven billion, one hundred twenty-six million, three hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 277 448 554 1108 1939 2216 3878 4432 7756 8864 15512 17728 31024 62048 89659 124096 179318 358636 627613 717272 1255226 1434544 2510452 2869088 5020904 5738176 10041808 20083616 24835543 40167232 49671086 99342172 173848801 198684344 347697602 397368688 695395204 794737376 1390790408 1589474752 2781580816 5563161632 11126323264