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13135505418 = 2327104250043
BaseRepresentation
bin11000011101110111…
…11110100000001010
31020220102202210221200
430032323332200022
5203400142133133
610011231245030
7643336645110
oct141673764012
936812683850
1013135505418
115630717702
122667079776
131314497319
148c875dab0
1551d2bb913
hex30eefe80a

13135505418 has 24 divisors (see below), whose sum is σ = 32526013728. Its totient is φ = 3753001512.

The previous prime is 13135505389. The next prime is 13135505419. The reversal of 13135505418 is 81450553131.

It is a happy number.

13135505418 is a `hidden beast` number, since 1 + 3 + 135 + 505 + 4 + 18 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13135505419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52124896 + ... + 52125147.

It is an arithmetic number, because the mean of its divisors is an integer number (1355250572).

Almost surely, 213135505418 is an apocalyptic number.

13135505418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13135505418 is an abundant number, since it is smaller than the sum of its proper divisors (19390508310).

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

13135505418 is a wasteful number, since it uses less digits than its factorization.

13135505418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104250058 (or 104250055 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 13135505418 in words is "thirteen billion, one hundred thirty-five million, five hundred five thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 104250043 208500086 312750129 625500258 729750301 938250387 1459500602 1876500774 2189250903 4378501806 6567752709 13135505418