Search a number
-
+
53221781760 = 283577179353
BaseRepresentation
bin110001100100010000…
…111111000100000000
312002101010011122100020
4301210100333010000
51332444234004020
640241051253440
73562612452330
oct614420770400
9162333148306
1053221781760
1120631343404
12a393a4a280
135032396974
14280c5890c0
1515b7646c40
hexc6443f100

53221781760 has 576 divisors, whose sum is σ = 200054292480. Its totient is φ = 11808276480.

The previous prime is 53221781759. The next prime is 53221781791. The reversal of 53221781760 is 6718712235.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 150769744 + ... + 150770096.

It is an arithmetic number, because the mean of its divisors is an integer number (347316480).

Almost surely, 253221781760 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 53221781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100027146240).

53221781760 is an abundant number, since it is smaller than the sum of its proper divisors (146832510720).

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

53221781760 is a wasteful number, since it uses less digits than its factorization.

53221781760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 53221781760 in words is "fifty-three billion, two hundred twenty-one million, seven hundred eighty-one thousand, seven hundred sixty".