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11544000016 = 244125768473
BaseRepresentation
bin10101100000001001…
…10111011000010000
31002210112001221222011
422300010313120100
5142120231000031
65145255552304
7556033244503
oct126004673020
932715057864
1011544000016
11499431808a
1222a208b694
13111c846b53
147b723b13a
154786e96b1
hex2b0137610

11544000016 has 40 divisors (see below), whose sum is σ = 23001512184. Its totient is φ = 5609226240.

The previous prime is 11544000001. The next prime is 11544000019. The reversal of 11544000016 is 61000044511.

It can be written as a sum of positive squares in 4 ways, for example, as 519840000 + 11024160016 = 22800^2 + 104996^2 .

It is not an unprimeable number, because it can be changed into a prime (11544000019) 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, 134356 + ... + 202828.

Almost surely, 211544000016 is an apocalyptic number.

11544000016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11544000016 is a deficient number, since it is larger than the sum of its proper divisors (11457512168).

11544000016 is a wasteful number, since it uses less digits than its factorization.

11544000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68779 (or 68773 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 11544000016 its reverse (61000044511), we get a palindrome (72544044527).

The spelling of 11544000016 in words is "eleven billion, five hundred forty-four million, sixteen", and thus it is an aban number.

Divisors: 1 2 4 8 16 41 82 164 257 328 514 656 1028 2056 4112 10537 21074 42148 68473 84296 136946 168592 273892 547784 1095568 2807393 5614786 11229572 17597561 22459144 35195122 44918288 70390244 140780488 281560976 721500001 1443000002 2886000004 5772000008 11544000016