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12713771612240 = 245910917446717
BaseRepresentation
bin1011100100000010011111…
…0101110011100001010000
31200000102110121021212222222
42321000213311303201100
53131300301013042430
643012343120520212
72451353053425026
oct271004765634120
950012417255888
1012713771612240
11406197569a616
121514020480068
13712b990521ba
1431d4c7d08716
15170aab0459e5
hexb9027d73850

12713771612240 has 40 divisors (see below), whose sum is σ = 29562765782280. Its totient is φ = 5084950058496.

The previous prime is 12713771612221. The next prime is 12713771612249. The reversal of 12713771612240 is 4221617731721.

It can be written as a sum of positive squares in 4 ways, for example, as 124360611904 + 12589411000336 = 352648^2 + 3548156^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12713771612191 and 12713771612200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12713771612249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7994639 + ... + 9452078.

It is an arithmetic number, because the mean of its divisors is an integer number (739069144557).

Almost surely, 212713771612240 is an apocalyptic number.

12713771612240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12713771612240 is an abundant number, since it is smaller than the sum of its proper divisors (16848994170040).

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

12713771612240 is a wasteful number, since it uses less digits than its factorization.

12713771612240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17455839 (or 17455833 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 44.

The spelling of 12713771612240 in words is "twelve trillion, seven hundred thirteen billion, seven hundred seventy-one million, six hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 9109 18218 36436 45545 72872 91090 145744 182180 364360 728720 17446717 34893434 69786868 87233585 139573736 174467170 279147472 348934340 697868680 1395737360 158922145153 317844290306 635688580612 794610725765 1271377161224 1589221451530 2542754322448 3178442903060 6356885806120 12713771612240