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2179049472 = 21133157251
BaseRepresentation
bin1000000111100001…
…1010100000000000
312121212021011221000
42001320122200000
513430314040342
61000120332000
7104666420625
oct20170324000
95555234830
102179049472
11a19020136
12509914000
132895a76b2
1416958634c
15cb47e44c
hex81e1a800

2179049472 has 192 divisors, whose sum is σ = 6521860800. Its totient is φ = 718848000.

The previous prime is 2179049471. The next prime is 2179049501. The reversal of 2179049472 is 2749409712.

It is a happy number.

2179049472 is a `hidden beast` number, since 2 + 1 + 7 + 90 + 494 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2179049471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8681347 + ... + 8681597.

It is an arithmetic number, because the mean of its divisors is an integer number (33968025).

Almost surely, 22179049472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2179049472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260930400).

2179049472 is an abundant number, since it is smaller than the sum of its proper divisors (4342811328).

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

2179049472 is a wasteful number, since it uses less digits than its factorization.

2179049472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2179049472 is about 46680.2899733924. The cubic root of 2179049472 is about 1296.4497753008.

The spelling of 2179049472 in words is "two billion, one hundred seventy-nine million, forty-nine thousand, four hundred seventy-two".