Search a number
-
+
11328602112 = 2143325609
BaseRepresentation
bin10101000110011110…
…01100000000000000
31002020111202121121000
422203033030000000
5141200110231422
65112043132000
7550506346332
oct124317140000
932214677530
1011328602112
114893778493
122241b14000
1310b702b079
147967ab452
1546484ccac
hex2a33cc000

11328602112 has 120 divisors (see below), whose sum is σ = 33566514800. Its totient is φ = 3776053248.

The previous prime is 11328602111. The next prime is 11328602141. The reversal of 11328602112 is 21120682311.

11328602112 is a `hidden beast` number, since 11 + 32 + 8 + 602 + 1 + 12 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11328602111) 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, 429564 + ... + 455172.

Almost surely, 211328602112 is an apocalyptic number.

11328602112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11328602112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16783257400).

11328602112 is an abundant number, since it is smaller than the sum of its proper divisors (22237912688).

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

11328602112 is an frugal number, since it uses more digits than its factorization.

11328602112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25646 (or 25614 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11328602112 in words is "eleven billion, three hundred twenty-eight million, six hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13824 16384 18432 24576 25609 27648 36864 49152 51218 55296 73728 76827 102436 110592 147456 153654 204872 221184 230481 307308 409744 442368 460962 614616 691443 819488 921924 1229232 1382886 1638976 1843848 2458464 2765772 3277952 3687696 4916928 5531544 6555904 7375392 9833856 11063088 13111808 14750784 19667712 22126176 26223616 29501568 39335424 44252352 52447232 59003136 78670848 88504704 104894464 118006272 157341696 177009408 209788928 236012544 314683392 354018816 419577856 472025088 629366784 708037632 944050176 1258733568 1416075264 1888100352 2832150528 3776200704 5664301056 11328602112