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2147911680 = 21135292411
BaseRepresentation
bin1000000000000110…
…1000100000000000
312112200200012220110
42000001220200000
513344331133210
6553045111320
7104140643115
oct20001504000
95480605813
102147911680
11a02492922
124bb3b8540
13282cc4875
1416539c90c
15c887d420
hex80068800

2147911680 has 192 divisors, whose sum is σ = 7111540800. Its totient is φ = 552796160.

The previous prime is 2147911669. The next prime is 2147911723. The reversal of 2147911680 is 861197412.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×21479116802 = 9227049170160844800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889675 + ... + 892085.

It is an arithmetic number, because the mean of its divisors is an integer number (37039275).

Almost surely, 22147911680 is an apocalyptic number.

2147911680 is a gapful number since it is divisible by the number (20) 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 2147911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555770400).

2147911680 is an abundant number, since it is smaller than the sum of its proper divisors (4963629120).

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

2147911680 is a wasteful number, since it uses less digits than its factorization.

2147911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 2147911680 is about 46345.5680729021. The cubic root of 2147911680 is about 1290.2448666830.

The spelling of 2147911680 in words is "two billion, one hundred forty-seven million, nine hundred eleven thousand, six hundred eighty".