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13093866720 = 253251119139313
BaseRepresentation
bin11000011000111010…
…01000110011100000
31020210112102100101200
430030131020303200
5203304012213340
610003143001200
7642323013354
oct141435106340
936715370350
1013093866720
11560a167960
122655139200
13130897893c
148c3001464
155197e4330
hex30c748ce0

13093866720 has 576 divisors, whose sum is σ = 51844665600. Its totient is φ = 2976030720.

The previous prime is 13093866713. The next prime is 13093866761. The reversal of 13093866720 is 2766839031.

It is a super-2 number, since 2×130938667202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41833284 + ... + 41833596.

It is an arithmetic number, because the mean of its divisors is an integer number (90008100).

Almost surely, 213093866720 is an apocalyptic number.

13093866720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13093866720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25922332800).

13093866720 is an abundant number, since it is smaller than the sum of its proper divisors (38750798880).

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

13093866720 is a wasteful number, since it uses less digits than its factorization.

13093866720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13093866720 in words is "thirteen billion, ninety-three million, eight hundred sixty-six thousand, seven hundred twenty".