Search a number
-
+
56047789056000 = 2133537171391103
BaseRepresentation
bin11001011111001101001001…
…00011101010000000000000
321100110010010210020101200010
430233212210203222000000
524321241332444243000
6315111555425424520
714543214314255220
oct1457464443520000
9240403123211603
1056047789056000
1116949808839645
12635252b19b140
13253738c75b9b1
14dbaa2823c080
15672de930cd50
hex32f9a48ea000

56047789056000 has 1792 divisors, whose sum is σ = 227529452666880. Its totient is φ = 11959743283200.

The previous prime is 56047789055941. The next prime is 56047789056001. The reversal of 56047789056000 is 65098774065.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×560477890560002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56047789056001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50813951449 + ... + 50813952551.

It is an arithmetic number, because the mean of its divisors is an integer number (126969560640).

Almost surely, 256047789056000 is an apocalyptic number.

56047789056000 is a gapful number since it is divisible by the number (50) 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 56047789056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113764726333440).

56047789056000 is an abundant number, since it is smaller than the sum of its proper divisors (171481663610880).

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

56047789056000 is a wasteful number, since it uses less digits than its factorization.

56047789056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 56047789056000 in words is "fifty-six trillion, forty-seven billion, seven hundred eighty-nine million, fifty-six thousand".