Search a number
-
+
11160414656 = 26315999391
BaseRepresentation
bin10100110010011011…
…00110100111000000
31001210210021210202222
422121031212213000
5140324031232111
65043234230212
7543364650026
oct123115464700
931723253688
1011160414656
114807843796
1221b5725368
13108b231a71
1477c30a716
15454bc97db
hex2993669c0

11160414656 has 56 divisors (see below), whose sum is σ = 22901452800. Its totient is φ = 5390611200.

The previous prime is 11160414653. The next prime is 11160414659. The reversal of 11160414656 is 65641406111.

It is an interprime number because it is at equal distance from previous prime (11160414653) and next prime (11160414659).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11160414653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1183721 + ... + 1193111.

Almost surely, 211160414656 is an apocalyptic number.

11160414656 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 11160414656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11450726400).

11160414656 is an abundant number, since it is smaller than the sum of its proper divisors (11741038144).

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

11160414656 is an equidigital number, since it uses as much as digits as its factorization.

11160414656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10033 (or 10023 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 11160414656 in words is "eleven billion, one hundred sixty million, four hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 599 992 1198 1984 2396 4792 9391 9584 18569 18782 19168 37138 37564 38336 74276 75128 148552 150256 291121 297104 300512 582242 594208 601024 1164484 1188416 2328968 4657936 5625209 9315872 11250418 18631744 22500836 45001672 90003344 174381479 180006688 348762958 360013376 697525916 1395051832 2790103664 5580207328 11160414656