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11506240014 = 232278448047
BaseRepresentation
bin10101011011101001…
…10100101000001110
31002200220000112222120
422231310310220032
5142031044140024
65141430353410
7555064266153
oct125564645016
932626015876
1011506240014
114974a77475
1222914bb866
131114a85a59
147b220c22a
1547523b479
hex2add34a0e

11506240014 has 16 divisors (see below), whose sum is σ = 23113859328. Its totient is φ = 3818516792.

The previous prime is 11506239991. The next prime is 11506240043. The reversal of 11506240014 is 41004260511.

It is a happy number.

11506240014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4222662 + ... + 4225385.

It is an arithmetic number, because the mean of its divisors is an integer number (1444616208).

Almost surely, 211506240014 is an apocalyptic number.

11506240014 is an abundant number, since it is smaller than the sum of its proper divisors (11607619314).

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

11506240014 is a wasteful number, since it uses less digits than its factorization.

11506240014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8448279.

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 11506240014 in words is "eleven billion, five hundred six million, two hundred forty thousand, fourteen".

Divisors: 1 2 3 6 227 454 681 1362 8448047 16896094 25344141 50688282 1917706669 3835413338 5753120007 11506240014