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10643189243904 = 21332743479593
BaseRepresentation
bin1001101011100000111110…
…0000111010000000000000
31101200110221011021012222200
42122320033200322000000
52343334222421301104
634345225202433200
72145642102614310
oct232701740720000
941613834235880
1010643189243904
113433829951818
12123a87a662800
135c285780c049
1428b1c1369440
15136cc176db39
hex9ae0f83a000

10643189243904 has 336 divisors, whose sum is σ = 35954494585152. Its totient is φ = 2970186153984.

The previous prime is 10643189243881. The next prime is 10643189243909. The reversal of 10643189243904 is 40934298134601.

10643189243904 is a `hidden beast` number, since 1 + 0 + 6 + 431 + 89 + 2 + 43 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×106431892439043 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10643189243909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21952332 + ... + 22431924.

Almost surely, 210643189243904 is an apocalyptic number.

10643189243904 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 10643189243904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17977247292576).

10643189243904 is an abundant number, since it is smaller than the sum of its proper divisors (25311305341248).

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

10643189243904 is an equidigital number, since it uses as much as digits as its factorization.

10643189243904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479675 (or 479648 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 10643189243904 in words is "ten trillion, six hundred forty-three billion, one hundred eighty-nine million, two hundred forty-three thousand, nine hundred four".