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13541540418 = 233735824181
BaseRepresentation
bin11001001110010001…
…11000001001000010
31021221201210112021000
430213020320021002
5210213113243133
610115414112430
7656400123450
oct144710701102
937851715230
1013541540418
11581993481a
12275b04b716
13137a63c813
149266559d0
15543c73413
hex327238242

13541540418 has 32 divisors (see below), whose sum is σ = 34391214720. Its totient is φ = 3869011440.

The previous prime is 13541540413. The next prime is 13541540437. The reversal of 13541540418 is 81404514531.

13541540418 is a `hidden beast` number, since 1 + 35 + 41 + 540 + 41 + 8 = 666.

It is a super-2 number, since 2×135415404182 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13541540413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17911713 + ... + 17912468.

It is an arithmetic number, because the mean of its divisors is an integer number (1074725460).

Almost surely, 213541540418 is an apocalyptic number.

13541540418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13541540418 is an abundant number, since it is smaller than the sum of its proper divisors (20849674302).

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

13541540418 is a wasteful number, since it uses less digits than its factorization.

13541540418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35824199 (or 35824193 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 13541540418 in words is "thirteen billion, five hundred forty-one million, five hundred forty thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 35824181 71648362 107472543 214945086 250769267 322417629 501538534 644835258 752307801 967252887 1504615602 1934505774 2256923403 4513846806 6770770209 13541540418