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5040805056 = 263729283457
BaseRepresentation
bin1001011000111010…
…01001010011000000
3111000022011102120120
410230131021103000
540310421230211
62152105540240
7235626064440
oct45435112300
914008142516
105040805056
1121574484a1
12b881a4680
136244479b1
1435b684120
151e7816d06
hex12c7494c0

5040805056 has 224 divisors, whose sum is σ = 15858378240. Its totient is φ = 1382621184.

The previous prime is 5040805009. The next prime is 5040805057. The reversal of 5040805056 is 6505080405.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×50408050562 = 50819431225190326272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5040805057) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11029980 + ... + 11030436.

Almost surely, 25040805056 is an apocalyptic number.

5040805056 is a gapful number since it is divisible by the number (56) 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 5040805056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7929189120).

5040805056 is an abundant number, since it is smaller than the sum of its proper divisors (10817573184).

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

5040805056 is a wasteful number, since it uses less digits than its factorization.

5040805056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 5040805056 is about 70998.6271416568. The cubic root of 5040805056 is about 1714.6150604685.

The spelling of 5040805056 in words is "five billion, forty million, eight hundred five thousand, fifty-six".