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13747214600000 = 2655726072311
BaseRepresentation
bin1100100000001100010111…
…0101111100011101000000
31210200012222000121010011022
43020003011311330131000
53300213243414200000
645123214434405012
72616126536041100
oct310030565743500
953605860533138
1013747214600000
114420185286172
121660376430768
13789483aaa39b
14357523b57200
1518c8e37d0585
hexc80c5d7c740

13747214600000 has 504 divisors, whose sum is σ = 39746805041664. Its totient is φ = 4703529600000.

The previous prime is 13747214599997. The next prime is 13747214600057. The reversal of 13747214600000 is 641274731.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5948598845 + ... + 5948601155.

It is an arithmetic number, because the mean of its divisors is an integer number (78862708416).

Almost surely, 213747214600000 is an apocalyptic number.

13747214600000 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 13747214600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19873402520832).

13747214600000 is an abundant number, since it is smaller than the sum of its proper divisors (25999590441664).

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

13747214600000 is an frugal number, since it uses more digits than its factorization.

13747214600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

Adding to 13747214600000 its reverse (641274731), we get a palindrome (13747855874731).

The spelling of 13747214600000 in words is "thirteen trillion, seven hundred forty-seven billion, two hundred fourteen million, six hundred thousand".