Search a number
-
+
1218064968 = 2332113149713
BaseRepresentation
bin100100010011010…
…0011001001001000
310010220000010000100
41020212203021020
54443311034333
6320511205400
742120244551
oct11046431110
93126003010
101218064968
1157562526a
1229bb16860
1316547ac03
14b7ab3328
1571e08213
hex489a3248

1218064968 has 48 divisors (see below), whose sum is σ = 3328142220. Its totient is φ = 402425856.

The previous prime is 1218064961. The next prime is 1218064979. The reversal of 1218064968 is 8694608121.

It can be written as a sum of positive squares in 2 ways, for example, as 796255524 + 421809444 = 28218^2 + 20538^2 .

It is not an unprimeable number, because it can be changed into a prime (1218064961) 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 11 ways as a sum of consecutive naturals, for example, 66721 + ... + 82992.

Almost surely, 21218064968 is an apocalyptic number.

1218064968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1218064968 is an abundant number, since it is smaller than the sum of its proper divisors (2110077252).

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

1218064968 is a wasteful number, since it uses less digits than its factorization.

1218064968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149838 (or 149831 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1218064968 is about 34900.7874982786. The cubic root of 1218064968 is about 1067.9645024603.

The spelling of 1218064968 in words is "one billion, two hundred eighteen million, sixty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 8136 149713 299426 449139 598852 898278 1197704 1347417 1796556 2694834 3593112 5389668 10779336 16917569 33835138 50752707 67670276 101505414 135340552 152258121 203010828 304516242 406021656 609032484 1218064968