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8725838112 = 253230298049
BaseRepresentation
bin10000010000001100…
…11011100100100000
3211112010012111121100
420020012123210200
5120332303304422
64001504554400
7426143254155
oct101006334440
924463174540
108725838112
113778565362
121836322a00
13a90a2b024
145cac4a22c
153610c37ac
hex20819b920

8725838112 has 36 divisors (see below), whose sum is σ = 24814102950. Its totient is φ = 2908612608.

The previous prime is 8725838071. The next prime is 8725838129. The reversal of 8725838112 is 2118385278.

8725838112 is a `hidden beast` number, since 8 + 7 + 258 + 381 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6605788176 + 2120049936 = 81276^2 + 46044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×87258381122 (a number of 21 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 15148737 + ... + 15149312.

Almost surely, 28725838112 is an apocalyptic number.

It is an amenable number.

8725838112 is an abundant number, since it is smaller than the sum of its proper divisors (16088264838).

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

8725838112 is a wasteful number, since it uses less digits than its factorization.

8725838112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30298065 (or 30298054 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 8725838112 is about 93412.1946642942. The cubic root of 8725838112 is about 2058.7441769217.

The spelling of 8725838112 in words is "eight billion, seven hundred twenty-five million, eight hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 30298049 60596098 90894147 121192196 181788294 242384392 272682441 363576588 484768784 545364882 727153176 969537568 1090729764 1454306352 2181459528 2908612704 4362919056 8725838112