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556960014 = 232133077753
BaseRepresentation
bin100001001100101…
…000100100001110
31102211000111111200
4201030220210032
52120040210024
6131133330330
716542040062
oct4114504416
91384014450
10556960014
11266431336
121366369a6
138b509450
1453d81aa2
1533d6a2c9
hex2132890e

556960014 has 48 divisors (see below), whose sum is σ = 1303974672. Its totient is φ = 170792064.

The previous prime is 556960007. The next prime is 556960039. The reversal of 556960014 is 410069655.

556960014 is a `hidden beast` number, since 556 + 96 + 0 + 0 + 14 = 666.

It is a Curzon number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 67962 + ... + 75714.

It is an arithmetic number, because the mean of its divisors is an integer number (27166139).

Almost surely, 2556960014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556960014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651987336).

556960014 is an abundant number, since it is smaller than the sum of its proper divisors (747014658).

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

556960014 is a wasteful number, since it uses less digits than its factorization.

556960014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8081 (or 8078 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 556960014 is about 23600.0002966102. Note that the first 3 decimals coincide. The cubic root of 556960014 is about 822.7628469832.

The spelling of 556960014 in words is "five hundred fifty-six million, nine hundred sixty thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 307 614 921 1842 2763 3991 5526 7753 7982 11973 15506 23259 23946 35919 46518 69777 71838 100789 139554 201578 302367 604734 907101 1814202 2380171 4760342 7140513 14281026 21421539 30942223 42843078 61884446 92826669 185653338 278480007 556960014