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52052564142 = 23343311171993
BaseRepresentation
bin110000011110100100…
…110001100010101110
311222100122002020022000
4300132210301202232
51323100424023032
635525043033130
73521624331525
oct603644614256
9158318066260
1052052564142
1120091351957
12a10836b7a6
134ba708c617
14273b18d4bc
151549b8be7c
hexc1e9318ae

52052564142 has 64 divisors (see below), whose sum is σ = 116101527360. Its totient is φ = 17286607872.

The previous prime is 52052564117. The next prime is 52052564153. The reversal of 52052564142 is 24146525025.

52052564142 is a `hidden beast` number, since 5 + 2 + 0 + 5 + 2 + 5 + 641 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 52052564097 and 52052564106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26116698 + ... + 26118690.

It is an arithmetic number, because the mean of its divisors is an integer number (1814086365).

Almost surely, 252052564142 is an apocalyptic number.

52052564142 is an abundant number, since it is smaller than the sum of its proper divisors (64048963218).

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

52052564142 is a wasteful number, since it uses less digits than its factorization.

52052564142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 52052564142 in words is "fifty-two billion, fifty-two million, five hundred sixty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 433 866 1117 1299 1993 2234 2598 3351 3897 3986 5979 6702 7794 10053 11691 11958 17937 20106 23382 30159 35874 53811 60318 107622 483661 862969 967322 1450983 1725938 2226181 2588907 2901966 4352949 4452362 5177814 6678543 7766721 8705898 13058847 13357086 15533442 20035629 23300163 26117694 40071258 46600326 60106887 120213774 963936373 1927872746 2891809119 5783618238 8675427357 17350854714 26026282071 52052564142