Search a number
-
+
11094844392 = 2332832816607
BaseRepresentation
bin10100101010100110…
…11110001111101000
31001122012220111021200
422111103132033220
5140210240010032
65032533004200
7541640423052
oct122523361750
931565814250
1011094844392
114783828895
122197783660
13107a7845a8
1477371c8d2
1544e07647c
hex2954de3e8

11094844392 has 96 divisors (see below), whose sum is σ = 30523409280. Its totient is φ = 3640170240.

The previous prime is 11094844373. The next prime is 11094844433. The reversal of 11094844392 is 29344849011.

11094844392 is a `hidden beast` number, since 110 + 9 + 4 + 8 + 443 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1675953 + ... + 1682559.

It is an arithmetic number, because the mean of its divisors is an integer number (317952180).

Almost surely, 211094844392 is an apocalyptic number.

11094844392 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 11094844392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15261704640).

11094844392 is an abundant number, since it is smaller than the sum of its proper divisors (19428564888).

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

11094844392 is a wasteful number, since it uses less digits than its factorization.

11094844392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6983 (or 6976 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11094844392 in words is "eleven billion, ninety-four million, eight hundred forty-four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 281 332 498 562 664 747 843 996 1124 1494 1686 1992 2248 2529 2988 3372 5058 5976 6607 6744 10116 13214 19821 20232 23323 26428 39642 46646 52856 59463 69969 79284 93292 118926 139938 158568 186584 209907 237852 279876 419814 475704 548381 559752 839628 1096762 1645143 1679256 1856567 2193524 3290286 3713134 4387048 4935429 5569701 6580572 7426268 9870858 11139402 13161144 14852536 16709103 19741716 22278804 33418206 39483432 44557608 66836412 133672824 154095061 308190122 462285183 616380244 924570366 1232760488 1386855549 1849140732 2773711098 3698281464 5547422196 11094844392