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2856688704 = 26321721312
BaseRepresentation
bin1010101001000101…
…1001110001000000
321101002100211012100
42222101121301000
521322303014304
61151244430400
7130535311332
oct25221316100
97332324170
102856688704
111236587561
12678848400
13366ab7c5c
141d157d452
1511abd6439
hexaa459c40

2856688704 has 189 divisors, whose sum is σ = 8765078101. Its totient is φ = 889374720.

The previous prime is 2856688697. The next prime is 2856688753. The reversal of 2856688704 is 4078866582.

The square root of 2856688704 is 53448.

It is a perfect power (a square), and thus also a powerful number.

2856688704 is a `hidden beast` number, since 2 + 8 + 566 + 8 + 8 + 70 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2224065600 + 632623104 = 47160^2 + 25152^2 .

It is a super-2 number, since 2×28566887042 = 16321340703122399232, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21806719 + ... + 21806849.

Almost surely, 22856688704 is an apocalyptic number.

2856688704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2856688704 is the 53448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2856688704

2856688704 is an abundant number, since it is smaller than the sum of its proper divisors (5908389397).

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

2856688704 is a wasteful number, since it uses less digits than its factorization.

2856688704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The cubic root of 2856688704 is about 1418.9082238125.

The spelling of 2856688704 in words is "two billion, eight hundred fifty-six million, six hundred eighty-eight thousand, seven hundred four".