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13717666732896 = 25337364737151
BaseRepresentation
bin1100011110011110010010…
…1001110001101101100000
31210120101200210001221112000
43013213210221301231200
53244222240140423041
645101450433204000
72614032366234000
oct307474451615540
953511623057460
1013717666732896
1144096a2285295
1216566aaa00600
137867552aaa59
14355d1d7a4000
1518bc64716bb6
hexc79e4a71b60

13717666732896 has 384 divisors, whose sum is σ = 46672464384000. Its totient is φ = 3918179865600.

The previous prime is 13717666732873. The next prime is 13717666732919. The reversal of 13717666732896 is 69823766671731.

13717666732896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13717666732873) and next prime (13717666732919).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1918282921 + ... + 1918290071.

It is an arithmetic number, because the mean of its divisors is an integer number (121542876000).

Almost surely, 213717666732896 is an apocalyptic number.

13717666732896 is a gapful number since it is divisible by the number (16) 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 13717666732896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23336232192000).

13717666732896 is an abundant number, since it is smaller than the sum of its proper divisors (32954797651104).

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

13717666732896 is an equidigital number, since it uses as much as digits as its factorization.

13717666732896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13664 (or 13636 counting only the distinct ones).

The product of its digits is 576108288, while the sum is 72.

The spelling of 13717666732896 in words is "thirteen trillion, seven hundred seventeen billion, six hundred sixty-six million, seven hundred thirty-two thousand, eight hundred ninety-six".