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11460115152 = 243279584133
BaseRepresentation
bin10101010110001001…
…10111101011010000
31002120200020011120100
422223010313223100
5141432242141102
65133102012400
7553664241303
oct125304675320
932520204510
1011460115152
114950a33152
122279b77100
131108356435
147aa042b3a
15471179a1c
hex2ab137ad0

11460115152 has 30 divisors (see below), whose sum is σ = 32072406002. Its totient is φ = 3820038336.

The previous prime is 11460115151. The next prime is 11460115169. The reversal of 11460115152 is 25151106411.

11460115152 is a `hidden beast` number, since 1 + 1 + 4 + 601 + 1 + 5 + 1 + 52 = 666.

11460115152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7019758656 + 4440356496 = 83784^2 + 66636^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11460115151) 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 5 ways as a sum of consecutive naturals, for example, 39791923 + ... + 39792210.

Almost surely, 211460115152 is an apocalyptic number.

11460115152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11460115152 is an abundant number, since it is smaller than the sum of its proper divisors (20612290850).

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

11460115152 is a wasteful number, since it uses less digits than its factorization.

11460115152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79584147 (or 79584138 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 11460115152 in words is "eleven billion, four hundred sixty million, one hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 79584133 159168266 238752399 318336532 477504798 636673064 716257197 955009596 1273346128 1432514394 1910019192 2865028788 3820038384 5730057576 11460115152