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2858696064 = 27347217331
BaseRepresentation
bin1010101001100100…
…0011110110000000
321101020010210210000
42222121003312000
521323311233224
61151355440000
7130561341600
oct25231036600
97336123700
102858696064
111237728734
12679456000
1336733b843
141d1942c00
1511ae810c9
hexaa643d80

2858696064 has 480 divisors, whose sum is σ = 10510200360. Its totient is φ = 766402560.

The previous prime is 2858696063. The next prime is 2858696069. The reversal of 2858696064 is 4606968582.

It is a happy number.

2858696064 is a `hidden beast` number, since 28 + 5 + 8 + 6 + 9 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2858696064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2858696063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8636379 + ... + 8636709.

Almost surely, 22858696064 is an apocalyptic number.

2858696064 is a gapful number since it is divisible by the number (24) 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 2858696064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5255100180).

2858696064 is an abundant number, since it is smaller than the sum of its proper divisors (7651504296).

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

2858696064 is a wasteful number, since it uses less digits than its factorization.

2858696064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 2858696064 is about 53466.7753282354. The cubic root of 2858696064 is about 1419.2404957798.

The spelling of 2858696064 in words is "two billion, eight hundred fifty-eight million, six hundred ninety-six thousand, sixty-four".