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11240464256 = 27736734183
BaseRepresentation
bin10100111011111101…
…11101111110000000
31002000100220202011222
422131332331332000
5141010024324011
65055214054212
7545356240550
oct123576757600
932010822158
1011240464256
114848a4918a
1222184aa368
1310a19ab8a8
14788bc7160
1545bc3cddb
hex29dfbdf80

11240464256 has 64 divisors (see below), whose sum is σ = 25662612480. Its totient is φ = 4804075008.

The previous prime is 11240464231. The next prime is 11240464259. The reversal of 11240464256 is 65246404211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11240464259) 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, 311741 + ... + 345923.

It is an arithmetic number, because the mean of its divisors is an integer number (400978320).

Almost surely, 211240464256 is an apocalyptic number.

11240464256 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 11240464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12831306240).

11240464256 is an abundant number, since it is smaller than the sum of its proper divisors (14422148224).

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

11240464256 is an equidigital number, since it uses as much as digits as its factorization.

11240464256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34571 (or 34559 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 11240464256 its reverse (65246404211), we get a palindrome (76486868467).

The spelling of 11240464256 in words is "eleven billion, two hundred forty million, four hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 367 448 734 896 1468 2569 2936 5138 5872 10276 11744 20552 23488 34183 41104 46976 68366 82208 136732 164416 239281 273464 328832 478562 546928 957124 1093856 1914248 2187712 3828496 4375424 7656992 12545161 15313984 25090322 30627968 50180644 87816127 100361288 175632254 200722576 351264508 401445152 702529016 802890304 1405058032 1605780608 2810116064 5620232128 11240464256