Search a number
-
+
5572265777568 = 253379715162903
BaseRepresentation
bin101000100010110010011…
…1011000001100110100000
3201201200222210010201001000
41101011210323001212200
51212244000014340233
615503510310112000
71113403640416620
oct121054473014640
921650883121030
105572265777568
111859203843276
1275bb3864b600
13315601bab969
141539b04a2880
1599e32826d13
hex51164ec19a0

5572265777568 has 384 divisors, whose sum is σ = 18890282557440. Its totient is φ = 1565203046400.

The previous prime is 5572265777567. The next prime is 5572265777587. The reversal of 5572265777568 is 8657775622755.

It is a happy number.

5572265777568 is a `hidden beast` number, since 5 + 5 + 7 + 2 + 2 + 6 + 57 + 7 + 7 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5572265777496 and 5572265777505.

It is not an unprimeable number, because it can be changed into a prime (5572265777563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88553605 + ... + 88616507.

It is an arithmetic number, because the mean of its divisors is an integer number (49193444160).

Almost surely, 25572265777568 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 5572265777568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9445141278720).

5572265777568 is an abundant number, since it is smaller than the sum of its proper divisors (13318016779872).

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

5572265777568 is a wasteful number, since it uses less digits than its factorization.

5572265777568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63177 (or 63163 counting only the distinct ones).

The product of its digits is 1728720000, while the sum is 72.

The spelling of 5572265777568 in words is "five trillion, five hundred seventy-two billion, two hundred sixty-five million, seven hundred seventy-seven thousand, five hundred sixty-eight".