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11293333344 = 253239212963
BaseRepresentation
bin10101000010010001…
…01001011101100000
31002011001101202221100
422201020221131200
5141112043131334
65104343154400
7546600515046
oct124110513540
932131352840
1011293333344
114875879547
122232145a00
1310ac92cb87
14791c2a396
154616d2c99
hex2a1229760

11293333344 has 36 divisors (see below), whose sum is σ = 32115417516. Its totient is φ = 3764444352.

The previous prime is 11293333321. The next prime is 11293333409. The reversal of 11293333344 is 44333339211.

11293333344 is a `hidden beast` number, since 1 + 1 + 293 + 33 + 334 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11293333299 and 11293333308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19606194 + ... + 19606769.

It is an arithmetic number, because the mean of its divisors is an integer number (892094931).

Almost surely, 211293333344 is an apocalyptic number.

It is an amenable number.

11293333344 is an abundant number, since it is smaller than the sum of its proper divisors (20822084172).

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

11293333344 is a wasteful number, since it uses less digits than its factorization.

11293333344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39212979 (or 39212968 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The spelling of 11293333344 in words is "eleven billion, two hundred ninety-three million, three hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 39212963 78425926 117638889 156851852 235277778 313703704 352916667 470555556 627407408 705833334 941111112 1254814816 1411666668 1882222224 2823333336 3764444448 5646666672 11293333344