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11226006264 = 23311284314957
BaseRepresentation
bin10100111010001111…
…10100001011111000
31001222100201012112210
422131013310023320
5140442324200024
65053540135120
7545122323144
oct123507641370
931870635483
1011226006264
114840873730
1222136974a0
13109b9b8b75
14786d02224
1545a834129
hex29d1f42f8

11226006264 has 64 divisors (see below), whose sum is σ = 30629197440. Its totient is φ = 3400396160.

The previous prime is 11226006263. The next prime is 11226006269. The reversal of 11226006264 is 46260062211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11226006263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743074 + ... + 758030.

It is an arithmetic number, because the mean of its divisors is an integer number (478581210).

Almost surely, 211226006264 is an apocalyptic number.

It is an amenable number.

11226006264 is an abundant number, since it is smaller than the sum of its proper divisors (19403191176).

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

11226006264 is a wasteful number, since it uses less digits than its factorization.

11226006264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17820 (or 17816 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 11226006264 its reverse (46260062211), we get a palindrome (57486068475).

The spelling of 11226006264 in words is "eleven billion, two hundred twenty-six million, six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2843 5686 8529 11372 14957 17058 22744 29914 31273 34116 44871 59828 62546 68232 89742 93819 119656 125092 164527 179484 187638 250184 329054 358968 375276 493581 658108 750552 987162 1316216 1974324 3948648 42522751 85045502 127568253 170091004 255136506 340182008 467750261 510273012 935500522 1020546024 1403250783 1871001044 2806501566 3742002088 5613003132 11226006264