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11418918336 = 263272832073
BaseRepresentation
bin10101010001001111…
…01101110111000000
31002110210201011011100
422220213231313000
5141341220341321
65125031014400
7552654130050
oct125047556700
932423634140
1011418918336
11492a7553a1
12226820a400
1310cc960c17
147a479b560
1546c73d326
hex2a89eddc0

11418918336 has 84 divisors (see below), whose sum is σ = 37406033392. Its totient is φ = 3262546944.

The previous prime is 11418918331. The next prime is 11418918349. The reversal of 11418918336 is 63381981411.

11418918336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11418918291 and 11418918300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11418918331) 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 11 ways as a sum of consecutive naturals, for example, 1412005 + ... + 1420068.

Almost surely, 211418918336 is an apocalyptic number.

11418918336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11418918336 is an abundant number, since it is smaller than the sum of its proper divisors (25987115056).

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

11418918336 is a wasteful number, since it uses less digits than its factorization.

11418918336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832098 (or 2832085 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 11418918336 in words is "eleven billion, four hundred eighteen million, nine hundred eighteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 2832073 5664146 8496219 11328292 16992438 19824511 22656584 25488657 33984876 39649022 45313168 50977314 59473533 67969752 79298044 90626336 101954628 118947066 135939504 158596088 178420599 181252672 203909256 237894132 271879008 317192176 356841198 407818512 475788264 543758016 634384352 713682396 815637024 951576528 1268768704 1427364792 1631274048 1903153056 2854729584 3806306112 5709459168 11418918336