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2128980672 = 26347134513
BaseRepresentation
bin111111011100101…
…1010101011000000
312111101001102110000
41332321122223000
513330004340142
6551131240000
7103521015510
oct17671325300
95441042400
102128980672
119a2832765
124b4ba9000
1327c0c6ba0
14162a71840
15c6d8e14c
hex7ee5aac0

2128980672 has 280 divisors, whose sum is σ = 7769063456. Its totient is φ = 561364992.

The previous prime is 2128980661. The next prime is 2128980709. The reversal of 2128980672 is 2760898212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 469488 + ... + 474000.

Almost surely, 22128980672 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 2128980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884531728).

2128980672 is an abundant number, since it is smaller than the sum of its proper divisors (5640082784).

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

2128980672 is a wasteful number, since it uses less digits than its factorization.

2128980672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4557 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2128980672 is about 46140.8785351991. The cubic root of 2128980672 is about 1286.4430732960.

The spelling of 2128980672 in words is "two billion, one hundred twenty-eight million, nine hundred eighty thousand, six hundred seventy-two".