Search a number
-
+
11291842720 = 25570574017
BaseRepresentation
bin10101000010000101…
…11101100010100000
31002010221121001012001
422201002331202200
5141111202431340
65104251213344
7546552036154
oct124102754240
932127531161
1011291842720
114874a50624
122231747254
1310ac52a552
1479195d064
154614db29a
hex2a10bd8a0

11291842720 has 24 divisors (see below), whose sum is σ = 26676978804. Its totient is φ = 4516737024.

The previous prime is 11291842621. The next prime is 11291842729. The reversal of 11291842720 is 2724819211.

It can be written as a sum of positive squares in 2 ways, for example, as 11250420624 + 41422096 = 106068^2 + 6436^2 .

It is a super-3 number, since 3×112918427203 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11291842720.

It is not an unprimeable number, because it can be changed into a prime (11291842729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35286849 + ... + 35287168.

Almost surely, 211291842720 is an apocalyptic number.

11291842720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11291842720 is an abundant number, since it is smaller than the sum of its proper divisors (15385136084).

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

11291842720 is an equidigital number, since it uses as much as digits as its factorization.

11291842720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70574032 (or 70574024 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 11291842720 in words is "eleven billion, two hundred ninety-one million, eight hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 70574017 141148034 282296068 352870085 564592136 705740170 1129184272 1411480340 2258368544 2822960680 5645921360 11291842720