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2147450880 = 2153517257
BaseRepresentation
bin111111111111111…
…1000000000000000
312112122210210210210
41333333320000000
513344221412010
6553031154120
7104134013511
oct17777700000
95478723723
102147450880
11a021a86a3
124bb215940
13282b92bc3
141652bca08
15c87dbb20
hex7fff8000

2147450880 has 256 divisors, whose sum is σ = 7304268960. Its totient is φ = 536870912.

The previous prime is 2147450861. The next prime is 2147450923. The reversal of 2147450880 is 880547412.

It is a happy number.

2147450880 is a nontrivial binomial coefficient, being equal to C(65536, 2).

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×21474508802 = 9223090564025548800, which contains 22 as substring.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 2147450880 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8355712 + ... + 8355968.

Almost surely, 22147450880 is an apocalyptic number.

2147450880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2147450880 is the 65535-th triangular number and also the 32768-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2147450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652134480).

2147450880 is an abundant number, since it is smaller than the sum of its proper divisors (5156818080).

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

2147450880 is an equidigital number, since it uses as much as digits as its factorization.

2147450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 2147450880 is about 46340.5964571023. The cubic root of 2147450880 is about 1290.1525929702.

The spelling of 2147450880 in words is "two billion, one hundred forty-seven million, four hundred fifty thousand, eight hundred eighty".