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2068278784 = 29111324153
BaseRepresentation
bin111101101000111…
…0110111000000000
312100010211110002221
41323101312320000
513213434410114
6541122220424
7102153036205
oct17321667000
95303743087
102068278784
11971542510
124987b4714
1326c662600
1415898dcac
15c189d524
hex7b476e00

2068278784 has 240 divisors, whose sum is σ = 5095080144. Its totient is φ = 830668800.

The previous prime is 2068278767. The next prime is 2068278809. The reversal of 2068278784 is 4878728602.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39024102 + ... + 39024154.

Almost surely, 22068278784 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 2068278784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547540072).

2068278784 is an abundant number, since it is smaller than the sum of its proper divisors (3026801360).

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

2068278784 is a wasteful number, since it uses less digits than its factorization.

2068278784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 52.

The square root of 2068278784 is about 45478.3331268858. Note that the first 3 decimals coincide. The cubic root of 2068278784 is about 1274.0985624148.

The spelling of 2068278784 in words is "two billion, sixty-eight million, two hundred seventy-eight thousand, seven hundred eighty-four".