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12714561699840 = 216325711135973
BaseRepresentation
bin1011100100000101011011…
…1011110000000000000000
31200000111111122222111102200
42321001112323300000000
53131303410243343330
643012553343113200
72451411456155310
oct271012673600000
950014448874380
1012714561699840
114062240680080
121514200ba2800
13712c93944360
1431d560c13440
15170b055b0a60
hexb9056ef0000

12714561699840 has 3264 divisors, whose sum is σ = 61007531719680. Its totient is φ = 2364580823040.

The previous prime is 12714561699823. The next prime is 12714561699841. The reversal of 12714561699840 is 4899616541721.

12714561699840 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 4 + 5 + 616 + 9 + 9 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12714561699841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 174172078044 + ... + 174172078116.

Almost surely, 212714561699840 is an apocalyptic number.

12714561699840 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 12714561699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30503765859840).

12714561699840 is an abundant number, since it is smaller than the sum of its proper divisors (48292970019840).

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

12714561699840 is a wasteful number, since it uses less digits than its factorization.

12714561699840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 12714561699840 in words is "twelve trillion, seven hundred fourteen billion, five hundred sixty-one million, six hundred ninety-nine thousand, eight hundred forty".