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11028378360384 = 263571119297263
BaseRepresentation
bin1010000001111011111010…
…0100110001101001000000
31110001022011122112202100000
42200132332210301221000
52421142104330013014
635242211142200000
72215526332234020
oct240367644615100
943038148482300
1011028378360384
113572122091110
1212a1459723000
1361cc82847888
142a1ac2495a80
15141d17c5c509
hexa07be931a40

11028378360384 has 2016 divisors, whose sum is σ = 43745291606016. Its totient is φ = 2675561103360.

The previous prime is 11028378360353. The next prime is 11028378360397. The reversal of 11028378360384 is 48306387382011.

It is a happy number.

11028378360384 is a `hidden beast` number, since 1 + 1 + 0 + 28 + 3 + 7 + 8 + 3 + 603 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11028378360384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41932997437 + ... + 41932997699.

It is an arithmetic number, because the mean of its divisors is an integer number (21699053376).

Almost surely, 211028378360384 is an apocalyptic number.

11028378360384 is a gapful number since it is divisible by the number (14) 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 11028378360384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21872645803008).

11028378360384 is an abundant number, since it is smaller than the sum of its proper divisors (32716913245632).

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

11028378360384 is a wasteful number, since it uses less digits than its factorization.

11028378360384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 11028378360384 in words is "eleven trillion, twenty-eight billion, three hundred seventy-eight million, three hundred sixty thousand, three hundred eighty-four".