Search a number
-
+
4941746784 = 25321319127547
BaseRepresentation
bin1001001101000110…
…10001001001100000
3110202101202202011200
410212203101021200
540110041344114
62134210441200
7233314104012
oct44643211140
913671682150
104941746784
11210653a557
12b5ab93200
13609a73a30
1434c45a1b2
151ddc9b409
hex1268d1260

4941746784 has 288 divisors, whose sum is σ = 16085422080. Its totient is φ = 1426553856.

The previous prime is 4941746741. The next prime is 4941746807. The reversal of 4941746784 is 4876471494.

4941746784 is a `hidden beast` number, since 4 + 94 + 17 + 467 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×49417467842 = 48841722554348685312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4941746784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9033999 + ... + 9034545.

It is an arithmetic number, because the mean of its divisors is an integer number (55852160).

Almost surely, 24941746784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4941746784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8042711040).

4941746784 is an abundant number, since it is smaller than the sum of its proper divisors (11143675296).

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

4941746784 is a wasteful number, since it uses less digits than its factorization.

4941746784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 711 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 4941746784 is about 70297.5588765357. The cubic root of 4941746784 is about 1703.3092154712.

The spelling of 4941746784 in words is "four billion, nine hundred forty-one million, seven hundred forty-six thousand, seven hundred eighty-four".