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52014074112 = 283271113191187
BaseRepresentation
bin110000011100010001…
…111100100100000000
311222020221122201220100
4300130101330210000
51323011100332422
635521150042400
73520646222640
oct603421744400
9158227581810
1052014074112
1120071652810
12a0b74a9400
134b9c104160
142736010520
1515465d77ac
hexc1c47c900

52014074112 has 864 divisors, whose sum is σ = 212133841920. Its totient is φ = 11804590080.

The previous prime is 52014074059. The next prime is 52014074149. The reversal of 52014074112 is 21147041025.

52014074112 is a `hidden beast` number, since 5 + 201 + 40 + 7 + 411 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43819183 + ... + 43820369.

It is an arithmetic number, because the mean of its divisors is an integer number (245525280).

Almost surely, 252014074112 is an apocalyptic number.

52014074112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52014074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106066920960).

52014074112 is an abundant number, since it is smaller than the sum of its proper divisors (160119767808).

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

52014074112 is a wasteful number, since it uses less digits than its factorization.

52014074112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 52014074112 in words is "fifty-two billion, fourteen million, seventy-four thousand, one hundred twelve".