Search a number
-
+
68141781552 = 24313241211971
BaseRepresentation
bin111111011101100100…
…010001001000110000
320111212220210011101010
4333131210101020300
52104023244002202
651145350510520
74631421405105
oct773544211060
9214786704333
1068141781552
1126998294049
1211258665440
13656c482500
143425d06aac
151b8c40776c
hexfdd911230

68141781552 has 240 divisors, whose sum is σ = 196392180096. Its totient is φ = 20337408000.

The previous prime is 68141781503. The next prime is 68141781559. The reversal of 68141781552 is 25518714186.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (68141781559) 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 47 ways as a sum of consecutive naturals, for example, 70176427 + ... + 70177397.

Almost surely, 268141781552 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 68141781552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98196090048).

68141781552 is an abundant number, since it is smaller than the sum of its proper divisors (128250398544).

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

68141781552 is a wasteful number, since it uses less digits than its factorization.

68141781552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1241 counting only the distinct ones).

The product of its digits is 537600, while the sum is 48.

The spelling of 68141781552 in words is "sixty-eight billion, one hundred forty-one million, seven hundred eighty-one thousand, five hundred fifty-two".