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11269641440 = 25570435259
BaseRepresentation
bin10100111111011100…
…10001010011100000
31002002101211002202102
422133232101103200
5141040012011230
65102135305532
7546162241331
oct123756212340
932071732672
1011269641440
114863467462
12222621b2a8
1310a7a561b5
1478ca20288
1545e5a3045
hex29fb914e0

11269641440 has 24 divisors (see below), whose sum is σ = 26624528280. Its totient is φ = 4507856512.

The previous prime is 11269641421. The next prime is 11269641443. The reversal of 11269641440 is 4414696211.

It is a happy number.

11269641440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11269641394 and 11269641403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11269641443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35217470 + ... + 35217789.

It is an arithmetic number, because the mean of its divisors is an integer number (1109355345).

Almost surely, 211269641440 is an apocalyptic number.

11269641440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11269641440 is an abundant number, since it is smaller than the sum of its proper divisors (15354886840).

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

11269641440 is an equidigital number, since it uses as much as digits as its factorization.

11269641440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70435274 (or 70435266 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 11269641440 in words is "eleven billion, two hundred sixty-nine million, six hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 70435259 140870518 281741036 352176295 563482072 704352590 1126964144 1408705180 2253928288 2817410360 5634820720 11269641440