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11240652768 = 253701167033
BaseRepresentation
bin10100111011111111…
…01011111111100000
31002000101021022202220
422131333223333200
5141010101342033
65055222111040
7545360654262
oct123577537740
932011238686
1011240652768
114849067884
12221857b480
1310a1a46637
14788c35b32
1545bc78bb3
hex29dfebfe0

11240652768 has 48 divisors (see below), whose sum is σ = 29548982736. Its totient is φ = 3741516800.

The previous prime is 11240652767. The next prime is 11240652781. The reversal of 11240652768 is 86725604211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11240652767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16221 + ... + 150812.

It is an arithmetic number, because the mean of its divisors is an integer number (615603807).

Almost surely, 211240652768 is an apocalyptic number.

It is an amenable number.

11240652768 is an abundant number, since it is smaller than the sum of its proper divisors (18308329968).

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

11240652768 is a wasteful number, since it uses less digits than its factorization.

11240652768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167747 (or 167739 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 11240652768 in words is "eleven billion, two hundred forty million, six hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 701 1402 2103 2804 4206 5608 8412 11216 16824 22432 33648 67296 167033 334066 501099 668132 1002198 1336264 2004396 2672528 4008792 5345056 8017584 16035168 117090133 234180266 351270399 468360532 702540798 936721064 1405081596 1873442128 2810163192 3746884256 5620326384 11240652768