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11440775864 = 2371999411091
BaseRepresentation
bin10101010011110110…
…00110001010111000
31002112022211122001102
422221323012022320
5141412314311424
65131131310532
7553340663450
oct125173061270
932468748042
1011440775864
114941024271
1222735ab448
13110434497b
147a764ad60
1546e6097ae
hex2a9ec62b8

11440775864 has 64 divisors (see below), whose sum is σ = 24687936000. Its totient is φ = 4868899200.

The previous prime is 11440775849. The next prime is 11440775869. The reversal of 11440775864 is 46857704411.

11440775864 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 not an unprimeable number, because it can be changed into a prime (11440775869) 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 15 ways as a sum of consecutive naturals, for example, 10485959 + ... + 10487049.

It is an arithmetic number, because the mean of its divisors is an integer number (385749000).

Almost surely, 211440775864 is an apocalyptic number.

11440775864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11440775864 is an abundant number, since it is smaller than the sum of its proper divisors (13247160136).

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

11440775864 is a wasteful number, since it uses less digits than its factorization.

11440775864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 47.

The spelling of 11440775864 in words is "eleven billion, four hundred forty million, seven hundred seventy-five thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 199 398 796 941 1091 1393 1592 1882 2182 2786 3764 4364 5572 6587 7528 7637 8728 11144 13174 15274 26348 30548 52696 61096 187259 217109 374518 434218 749036 868436 1026631 1310813 1498072 1519763 1736872 2053262 2621626 3039526 4106524 5243252 6079052 7186417 8213048 10486504 12158104 14372834 28745668 57491336 204299569 408599138 817198276 1430096983 1634396552 2860193966 5720387932 11440775864