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2178661056 = 2631113731087
BaseRepresentation
bin1000000111011011…
…1011101011000000
312121211112110010020
42001312323223000
513430214123211
61000104133440
7104663212335
oct20166735300
95554473106
102178661056
11a18885330
12509767280
1328949c970
141694c498c
15cb404306
hex81dbbac0

2178661056 has 224 divisors, whose sum is σ = 6871216128. Its totient is φ = 600514560.

The previous prime is 2178661003. The next prime is 2178661063. The reversal of 2178661056 is 6501668712.

It is a junction number, because it is equal to n+sod(n) for n = 2178660999 and 2178661017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2003745 + ... + 2004831.

It is an arithmetic number, because the mean of its divisors is an integer number (30675072).

Almost surely, 22178661056 is an apocalyptic number.

2178661056 is a gapful number since it is divisible by the number (26) 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 2178661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435608064).

2178661056 is an abundant number, since it is smaller than the sum of its proper divisors (4692555072).

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

2178661056 is a wasteful number, since it uses less digits than its factorization.

2178661056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2178661056 is about 46676.1294025115. The cubic root of 2178661056 is about 1296.3727399137.

The spelling of 2178661056 in words is "two billion, one hundred seventy-eight million, six hundred sixty-one thousand, fifty-six".