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11354335744 = 29191116107
BaseRepresentation
bin10101001001100010…
…10110101000000000
31002022022012000111111
422210301112220000
5141223202220434
65114402453104
7551241155443
oct124461265000
932268160444
1011354335744
1148a7254554
12224a664194
1310bc46b17b
14799d8965a
15466c32964
hex2a4c56a00

11354335744 has 40 divisors (see below), whose sum is σ = 22805468928. Its totient is φ = 5647395840.

The previous prime is 11354335703. The next prime is 11354335747. The reversal of 11354335744 is 44753345311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11354335697 and 11354335706.

It is not an unprimeable number, because it can be changed into a prime (11354335747) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39739 + ... + 155845.

Almost surely, 211354335744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11354335744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11402734464).

11354335744 is an abundant number, since it is smaller than the sum of its proper divisors (11451133184).

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

11354335744 is an equidigital number, since it uses as much as digits as its factorization.

11354335744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116316 (or 116300 counting only the distinct ones).

The product of its digits is 302400, while the sum is 40.

The spelling of 11354335744 in words is "eleven billion, three hundred fifty-four million, three hundred thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 191 256 382 512 764 1528 3056 6112 12224 24448 48896 97792 116107 232214 464428 928856 1857712 3715424 7430848 14861696 22176437 29723392 44352874 59446784 88705748 177411496 354822992 709645984 1419291968 2838583936 5677167872 11354335744