Search a number
-
+
11070123776 = 28675411193
BaseRepresentation
bin10100100111101010…
…01010111100000000
31001120111101112222022
422103311022330000
5140132422430101
65030251101012
7541220333225
oct122365127400
931514345868
1011070123776
114770883928
12218b441768
13107560a5ca
1477032594c
1544bce1a1b
hex293d4af00

11070123776 has 72 divisors (see below), whose sum is σ = 22487098704. Its totient is φ = 5437808640.

The previous prime is 11070123749. The next prime is 11070123781. The reversal of 11070123776 is 67732107011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9278636 + ... + 9279828.

Almost surely, 211070123776 is an apocalyptic number.

11070123776 is a gapful number since it is divisible by the number (16) 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 11070123776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11243549352).

11070123776 is an abundant number, since it is smaller than the sum of its proper divisors (11416974928).

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

11070123776 is an equidigital number, since it uses as much as digits as its factorization.

11070123776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 35.

The spelling of 11070123776 in words is "eleven billion, seventy million, one hundred twenty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 536 541 1072 1082 1193 2144 2164 2386 4288 4328 4772 8576 8656 9544 17152 17312 19088 34624 36247 38176 69248 72494 76352 79931 138496 144988 152704 159862 289976 305408 319724 579952 639448 645413 1159904 1278896 1290826 2319808 2557792 2581652 4639616 5115584 5163304 9279232 10231168 10326608 20462336 20653216 41306432 43242671 82612864 86485342 165225728 172970684 345941368 691882736 1383765472 2767530944 5535061888 11070123776