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11066248312 = 23731103199311
BaseRepresentation
bin10100100111001100…
…11000110001111000
31001120020002122211121
422103212120301320
5140130424421222
65030032035024
7541142362420
oct122346306170
931506078747
1011066248312
114769677169
12218a092a74
131074881632
1476d9d7480
1544b7c85c7
hex293998c78

11066248312 has 128 divisors (see below), whose sum is σ = 24920064000. Its totient is φ = 4507747200.

The previous prime is 11066248307. The next prime is 11066248321. The reversal of 11066248312 is 21384266011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35582637 + ... + 35582947.

It is an arithmetic number, because the mean of its divisors is an integer number (194688000).

Almost surely, 211066248312 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 11066248312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12460032000).

11066248312 is an abundant number, since it is smaller than the sum of its proper divisors (13853815688).

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

11066248312 is a wasteful number, since it uses less digits than its factorization.

11066248312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 11066248312 in words is "eleven billion, sixty-six million, two hundred forty-eight thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 31 56 62 103 124 199 206 217 248 311 398 412 434 622 721 796 824 868 1244 1393 1442 1592 1736 2177 2488 2786 2884 3193 4354 5572 5768 6169 6386 8708 9641 11144 12338 12772 17416 19282 20497 22351 24676 25544 32033 38564 40994 43183 44702 49352 61889 64066 67487 77128 81988 86366 89404 123778 128132 134974 143479 163976 172732 178808 224231 247556 256264 269948 286958 345464 433223 448462 495112 539896 573916 635407 866446 896924 993023 1147832 1270814 1732892 1793848 1918559 1986046 2541628 3465784 3837118 3972092 4447849 5083256 6374567 6951161 7674236 7944184 8895698 12749134 13429913 13902322 15348472 17791396 25498268 26859826 27804644 35582792 44621969 50996536 53719652 55609288 89243938 107439304 178487876 197611577 356975752 395223154 790446308 1383281039 1580892616 2766562078 5533124156 11066248312