Search a number
-
+
11146447368 = 233377371989
BaseRepresentation
bin10100110000110000…
…10100101000001000
31001202211000012021000
422120120110220020
5140311442303433
65042015015000
7543135145050
oct123030245010
931684005230
1011146447368
1147aa973981
1221b0b0a460
1310883814b4
1477a512560
1545386b113
hex298614a08

11146447368 has 64 divisors (see below), whose sum is σ = 35385552000. Its totient is φ = 3184698816.

The previous prime is 11146447357. The next prime is 11146447369. The reversal of 11146447368 is 86374464111.

11146447368 is a `hidden beast` number, since 1 + 1 + 146 + 447 + 3 + 68 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11146447369) 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 15 ways as a sum of consecutive naturals, for example, 3684483 + ... + 3687506.

It is an arithmetic number, because the mean of its divisors is an integer number (552899250).

Almost surely, 211146447368 is an apocalyptic number.

11146447368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11146447368 is an abundant number, since it is smaller than the sum of its proper divisors (24239104632).

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

11146447368 is a wasteful number, since it uses less digits than its factorization.

11146447368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7372011 (or 7372001 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 11146447368 in words is "eleven billion, one hundred forty-six million, four hundred forty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 7371989 14743978 22115967 29487956 44231934 51603923 58975912 66347901 88463868 103207846 132695802 154811769 176927736 199043703 206415692 265391604 309623538 398087406 412831384 464435307 530783208 619247076 796174812 928870614 1238494152 1393305921 1592349624 1857741228 2786611842 3715482456 5573223684 11146447368