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214720849728 = 263871129229
BaseRepresentation
bin1100011111111001011…
…1000010011101000000
3202112020021011100000000
43013332113002131000
512004222014142403
6242350313000000
721340661052150
oct3077627023500
9675207140000
10214720849728
118307635a510
12357456b3000
131732c08a548
14a56d1dc760
1558ba9e77a3
hex31fe5c2740

214720849728 has 1008 divisors, whose sum is σ = 827872156800. Its totient is φ = 53613342720.

The previous prime is 214720849639. The next prime is 214720849741. The reversal of 214720849728 is 827948027412.

214720849728 is a `hidden beast` number, since 2 + 1 + 472 + 0 + 84 + 97 + 2 + 8 = 666.

214720849728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×2147208497282 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 937645518 + ... + 937645746.

Almost surely, 2214720849728 is an apocalyptic number.

214720849728 is a gapful number since it is divisible by the number (28) 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 214720849728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413936078400).

214720849728 is an abundant number, since it is smaller than the sum of its proper divisors (613151307072).

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

214720849728 is an equidigital number, since it uses as much as digits as its factorization.

214720849728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 214720849728 in words is "two hundred fourteen billion, seven hundred twenty million, eight hundred forty-nine thousand, seven hundred twenty-eight".