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11446006011 = 3112192297247
BaseRepresentation
bin10101010100011110…
…00011000011111011
31002112200200100110120
422222033003003323
5141420134143021
65131435344323
7553433305626
oct125217030373
932480610416
1011446006011
114943a76800
1222752b20a3
13110545642b
147a820cdbd
1546ecde2c6
hex2aa3c30fb

11446006011 has 48 divisors (see below), whose sum is σ = 17737305600. Its totient is φ = 6542268480.

The previous prime is 11446006009. The next prime is 11446006081. The reversal of 11446006011 is 11060064411.

It is not a de Polignac number, because 11446006011 - 21 = 11446006009 is a prime.

It is a super-2 number, since 2×114460060112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11446006081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1575790 + ... + 1583036.

It is an arithmetic number, because the mean of its divisors is an integer number (369527200).

Almost surely, 211446006011 is an apocalyptic number.

11446006011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11446006011 is a deficient number, since it is larger than the sum of its proper divisors (6291299589).

11446006011 is a wasteful number, since it uses less digits than its factorization.

11446006011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7520 (or 7509 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 11446006011 in words is "eleven billion, four hundred forty-six million, six thousand, eleven".

Divisors: 1 3 11 19 33 57 121 209 229 363 627 687 2299 2519 4351 6897 7247 7557 13053 21741 27709 47861 79717 83127 137693 143583 239151 413079 526471 876887 1514623 1579413 1659563 2630661 4543869 4978689 16660853 18255193 31531697 49982559 54765579 94595091 200807123 346848667 602421369 1040546001 3815335337 11446006011