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11173832828928 = 211327311317173
BaseRepresentation
bin1010001010011001110001…
…0101100010100000000000
31110120012121121210100021200
42202212130111202200000
52431033002201011203
635433104332221200
72232165664641000
oct242463425424000
943505547710250
1011173832828928
1136188833701a0
12130569200a800
136308c346b043
142a8b60288000
151459cc7579a3
hexa299c562800

11173832828928 has 2304 divisors, whose sum is σ = 43566501888000. Its totient is φ = 2731180032000.

The previous prime is 11173832828923. The next prime is 11173832828989. The reversal of 11173832828928 is 82982823837111.

11173832828928 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 3 + 8 + 328 + 289 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×111738328289282 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11173832828923) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 153066203100 + ... + 153066203172.

It is an arithmetic number, because the mean of its divisors is an integer number (18909072000).

Almost surely, 211173832828928 is an apocalyptic number.

11173832828928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11173832828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21783250944000).

11173832828928 is an abundant number, since it is smaller than the sum of its proper divisors (32392669059072).

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

11173832828928 is a wasteful number, since it uses less digits than its factorization.

11173832828928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 198 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 63.

The spelling of 11173832828928 in words is "eleven trillion, one hundred seventy-three billion, eight hundred thirty-two million, eight hundred twenty-eight thousand, nine hundred twenty-eight".