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13201263824 = 247439268493
BaseRepresentation
bin11000100101101101…
…10100110011010000
31021002000111200112012
430102312310303100
5204014010420244
610021540522052
7645065614430
oct142266646320
937060450465
1013201263824
1156648509a1
1226850b0328
131324cac318
148d339a2c0
15523e5a89e
hex312db4cd0

13201263824 has 40 divisors (see below), whose sum is σ = 29298065280. Its totient is φ = 5644775808.

The previous prime is 13201263811. The next prime is 13201263841. The reversal of 13201263824 is 42836210231.

It is a super-2 number, since 2×132012638242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85079 + ... + 183414.

It is an arithmetic number, because the mean of its divisors is an integer number (732451632).

Almost surely, 213201263824 is an apocalyptic number.

13201263824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13201263824 is an abundant number, since it is smaller than the sum of its proper divisors (16096801456).

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

13201263824 is a wasteful number, since it uses less digits than its factorization.

13201263824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268947 (or 268941 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 13201263824 in words is "thirteen billion, two hundred one million, two hundred sixty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 439 878 1756 3073 3512 6146 7024 12292 24584 49168 268493 536986 1073972 1879451 2147944 3758902 4295888 7517804 15035608 30071216 117868427 235736854 471473708 825078989 942947416 1650157978 1885894832 3300315956 6600631912 13201263824