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11243833344 = 21133203339
BaseRepresentation
bin10100111100010111…
…10100100000000000
31002000121020220201000
422132023310200000
5141011410131334
65055414212000
7545430002142
oct123613644000
932017226630
1011243833344
11484a93a457
122219654000
1310a25bb233
14789422c92
1545c1a6299
hex29e2f4800

11243833344 has 96 divisors (see below), whose sum is σ = 33307092000. Its totient is φ = 3747926016.

The previous prime is 11243833343. The next prime is 11243833387. The reversal of 11243833344 is 44333834211.

11243833344 is a `hidden beast` number, since 1 + 1 + 243 + 83 + 334 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 11243833299 and 11243833308.

It is not an unprimeable number, because it can be changed into a prime (11243833343) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 46374 + ... + 156965.

It is an arithmetic number, because the mean of its divisors is an integer number (346948875).

Almost surely, 211243833344 is an apocalyptic number.

It is an amenable number.

11243833344 is an abundant number, since it is smaller than the sum of its proper divisors (22063258656).

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

11243833344 is an equidigital number, since it uses as much as digits as its factorization.

11243833344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203370 (or 203344 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 11243833344 in words is "eleven billion, two hundred forty-three million, eight hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 18432 27648 55296 203339 406678 610017 813356 1220034 1626712 1830051 2440068 3253424 3660102 4880136 5490153 6506848 7320204 9760272 10980306 13013696 14640408 19520544 21960612 26027392 29280816 39041088 43921224 52054784 58561632 78082176 87842448 104109568 117123264 156164352 175684896 208219136 234246528 312328704 351369792 416438272 468493056 624657408 702739584 936986112 1249314816 1405479168 1873972224 2810958336 3747944448 5621916672 11243833344