Search a number
-
+
1161981568 = 27111018171
BaseRepresentation
bin100010101000010…
…0110111010000000
32222222110210001101
41011100212322000
54334431402233
6311145144144
740536452236
oct10520467200
92888423041
101161981568
115469a9a50
1228518b054
13156972877
14b0474956
156c02ac7d
hex45426e80

1161981568 has 64 divisors (see below), whose sum is σ = 2550644640. Its totient is φ = 522880000.

The previous prime is 1161981563. The next prime is 1161981581. The reversal of 1161981568 is 8651891611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1161981563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138123 + ... + 146293.

Almost surely, 21161981568 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 1161981568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275322320).

1161981568 is an abundant number, since it is smaller than the sum of its proper divisors (1388663072).

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

1161981568 is a wasteful number, since it uses less digits than its factorization.

1161981568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8297 (or 8285 counting only the distinct ones).

The product of its digits is 103680, while the sum is 46.

The square root of 1161981568 is about 34087.8507389363. The cubic root of 1161981568 is about 1051.3155296375.

The spelling of 1161981568 in words is "one billion, one hundred sixty-one million, nine hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 128 176 202 352 404 704 808 1111 1408 1616 2222 3232 4444 6464 8171 8888 12928 16342 17776 32684 35552 65368 71104 89881 130736 142208 179762 261472 359524 522944 719048 825271 1045888 1438096 1650542 2876192 3301084 5752384 6602168 9077981 11504768 13204336 18155962 26408672 36311924 52817344 72623848 105634688 145247696 290495392 580990784 1161981568