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11286087696 = 24341322272
BaseRepresentation
bin10101000001011010…
…00000100000010000
31002010112202122210000
422200231000200100
5141103214301241
65103524010000
7546452106522
oct124055004020
932115678700
1011286087696
11487177a804
12222b830900
1310ab293c00
14790ca1a12
15460c50eb6
hex2a0b40810

11286087696 has 225 divisors, whose sum is σ = 35527712781. Its totient is φ = 3457344384.

The previous prime is 11286087679. The next prime is 11286087719. The reversal of 11286087696 is 69678068211.

The square root of 11286087696 is 106236.

It is a perfect power (a square), and thus also a powerful number.

11286087696 is a `hidden beast` number, since 1 + 1 + 28 + 608 + 7 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1669539600 + 9616548096 = 40860^2 + 98064^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49718335 + ... + 49718561.

Almost surely, 211286087696 is an apocalyptic number.

11286087696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11286087696 is the 106236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11286087696

11286087696 is an abundant number, since it is smaller than the sum of its proper divisors (24241625085).

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

11286087696 is an equidigital number, since it uses as much as digits as its factorization.

11286087696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 11286087696 in words is "eleven billion, two hundred eighty-six million, eighty-seven thousand, six hundred ninety-six".