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11540505540 = 2235192341759
BaseRepresentation
bin10101011111101111…
…00010001111000100
31002210021111102110010
422233313202033010
5142113332134130
65145053030220
7555661451514
oct125767421704
932707442403
1011540505540
114992350693
1222a0a85370
13111bbc2405
147b69ab844
154782590b0
hex2afde23c4

11540505540 has 24 divisors (see below), whose sum is σ = 32313415680. Its totient is φ = 3077468128.

The previous prime is 11540505503. The next prime is 11540505547. The reversal of 11540505540 is 4550504511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11540505498 and 11540505507.

It is not an unprimeable number, because it can be changed into a prime (11540505547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96170820 + ... + 96170939.

It is an arithmetic number, because the mean of its divisors is an integer number (1346392320).

Almost surely, 211540505540 is an apocalyptic number.

11540505540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11540505540 is an abundant number, since it is smaller than the sum of its proper divisors (20772910140).

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

11540505540 is a wasteful number, since it uses less digits than its factorization.

11540505540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192341771 (or 192341769 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 11540505540 in words is "eleven billion, five hundred forty million, five hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 192341759 384683518 577025277 769367036 961708795 1154050554 1923417590 2308101108 2885126385 3846835180 5770252770 11540505540