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13118640864 = 253719521787
BaseRepresentation
bin11000011011110111…
…01001001011100000
31020212021001000010120
430031323221023200
5203331333001424
610005430000240
7643043415240
oct141573511340
936767030116
1013118640864
11562214905a
1226614a6080
131310b410b4
148c640db20
1551ba89a79
hex30dee92e0

13118640864 has 48 divisors (see below), whose sum is σ = 39355924608. Its totient is φ = 3748182912.

The previous prime is 13118640859. The next prime is 13118640889. The reversal of 13118640864 is 46804681131.

13118640864 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 (48).

It is a super-2 number, since 2×131186408642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9760222 + ... + 9761565.

It is an arithmetic number, because the mean of its divisors is an integer number (819915096).

Almost surely, 213118640864 is an apocalyptic number.

13118640864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13118640864 is an abundant number, since it is smaller than the sum of its proper divisors (26237283744).

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

13118640864 is a wasteful number, since it uses less digits than its factorization.

13118640864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19521807 (or 19521799 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 13118640864 in words is "thirteen billion, one hundred eighteen million, six hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 19521787 39043574 58565361 78087148 117130722 136652509 156174296 234261444 273305018 312348592 409957527 468522888 546610036 624697184 819915054 937045776 1093220072 1639830108 1874091552 2186440144 3279660216 4372880288 6559320432 13118640864