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13713252825600 = 293752489871
BaseRepresentation
bin1100011110001101110110…
…0100000011101000000000
31210112222022011112020000000
43013203131210003220000
53244134220210404400
645055440440000000
72613515121523416
oct307433544035000
953488264466000
1013713252825600
114407837797419
121655878760000
137862009b88a3
14355a214a92b6
1518baa6e82600
hexc78dd903a00

13713252825600 has 480 divisors, whose sum is σ = 50955819214080. Its totient is φ = 3656859955200.

The previous prime is 13713252825593. The next prime is 13713252825607. The reversal of 13713252825600 is 652825231731.

13713252825600 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 3 + 2 + 5 + 2 + 82 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13713252825593) and next prime (13713252825607).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (13713252825607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27748665 + ... + 28238535.

It is an arithmetic number, because the mean of its divisors is an integer number (106157956696).

Almost surely, 213713252825600 is an apocalyptic number.

13713252825600 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 13713252825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25477909607040).

13713252825600 is an abundant number, since it is smaller than the sum of its proper divisors (37242566388480).

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

13713252825600 is an frugal number, since it uses more digits than its factorization.

13713252825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489920 (or 489881 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 13713252825600 in words is "thirteen trillion, seven hundred thirteen billion, two hundred fifty-two million, eight hundred twenty-five thousand, six hundred".