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7056417920 = 27511025653
BaseRepresentation
bin1101001001001100…
…00110010010000000
3200012202220011121212
412210212012102000
5103422420333140
63124111305252
7336602363666
oct64446062200
920182804555
107056417920
112aa1189252
12144b21b228
13885bca626
144ad244c36
152b4760765
hex1a4986480

7056417920 has 32 divisors (see below), whose sum is σ = 16869250620. Its totient is φ = 2822566912.

The previous prime is 7056417913. The next prime is 7056417931. The reversal of 7056417920 is 297146507.

It can be written as a sum of positive squares in 2 ways, for example, as 5752919104 + 1303498816 = 75848^2 + 36104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5512187 + ... + 5513466.

Almost surely, 27056417920 is an apocalyptic number.

It is an amenable number.

7056417920 is an abundant number, since it is smaller than the sum of its proper divisors (9812832700).

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

7056417920 is a wasteful number, since it uses less digits than its factorization.

7056417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11025672 (or 11025660 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 7056417920 is about 84002.4875822139. The cubic root of 7056417920 is about 1918.0566563778.

The spelling of 7056417920 in words is "seven billion, fifty-six million, four hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 11025653 22051306 44102612 55128265 88205224 110256530 176410448 220513060 352820896 441026120 705641792 882052240 1411283584 1764104480 3528208960 7056417920