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13260092976 = 2432137083383
BaseRepresentation
bin11000101100101110…
…01111011000110000
31021020010012111221200
430112113033120300
5204124040433401
610031441451200
7646411634124
oct142627173060
937203174850
1013260092976
115694a82129
1226a0940b00
131334239380
148db111584
155291cb686
hex3165cf630

13260092976 has 60 divisors (see below), whose sum is σ = 39964452528. Its totient is φ = 4080028032.

The previous prime is 13260092921. The next prime is 13260092977. The reversal of 13260092976 is 67929006231.

It is a happy number.

13260092976 is a `hidden beast` number, since 1 + 32 + 600 + 9 + 2 + 9 + 7 + 6 = 666.

13260092976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13260092977) 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, 3539820 + ... + 3543563.

Almost surely, 213260092976 is an apocalyptic number.

13260092976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13260092976 is an abundant number, since it is smaller than the sum of its proper divisors (26704359552).

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

13260092976 is a wasteful number, since it uses less digits than its factorization.

13260092976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7083410 (or 7083401 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 13260092976 in words is "thirteen billion, two hundred sixty million, ninety-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 7083383 14166766 21250149 28333532 42500298 56667064 63750447 85000596 92083979 113334128 127500894 170001192 184167958 255001788 276251937 340002384 368335916 510003576 552503874 736671832 828755811 1020007152 1105007748 1473343664 1657511622 2210015496 3315023244 4420030992 6630046488 13260092976