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12697535847360 = 26357213311315113
BaseRepresentation
bin1011100011000110000000…
…0111010001101111000000
31122221212120002211120120210
42320301200013101233000
53131014023134103420
643001100100034120
72450236526621400
oct270614007215700
948855502746523
1012697535847360
114055aa3a64111
121510a4b092940
137114ac49ba30
1431c7c7924800
1517045a9cd9e0
hexb8c601d1bc0

12697535847360 has 1344 divisors, whose sum is σ = 52541502418944. Its totient is φ = 2572325683200.

The previous prime is 12697535847349. The next prime is 12697535847361. The reversal of 12697535847360 is 6374853579621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×126975358473602 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12697535847291 and 12697535847300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12697535847361) 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, 2483380164 + ... + 2483385276.

It is an arithmetic number, because the mean of its divisors is an integer number (39093379776).

It is a 1-persistent number, because it is pandigital, but 2⋅12697535847360 = 25395071694720 is not.

Almost surely, 212697535847360 is an apocalyptic number.

12697535847360 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 12697535847360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26270751209472).

12697535847360 is an abundant number, since it is smaller than the sum of its proper divisors (39843966571584).

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

12697535847360 is a wasteful number, since it uses less digits than its factorization.

12697535847360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322 (or 5305 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 66.

The spelling of 12697535847360 in words is "twelve trillion, six hundred ninety-seven billion, five hundred thirty-five million, eight hundred forty-seven thousand, three hundred sixty".