Search a number
-
+
12742376260340 = 2251062975993761
BaseRepresentation
bin1011100101101101000011…
…0011111000001011110100
31200010011022002222120102002
42321123100303320023310
53132232341310312330
643033433345434432
72453414651060366
oct271332063701364
950104262876362
1012742376260340
11407301422a061
12151968403ba18
137157a730538c
14320a3ccd0d36
151716d23e6e45
hexb96d0cf82f4

12742376260340 has 24 divisors (see below), whose sum is σ = 26759246349192. Its totient is φ = 5096901703680.

The previous prime is 12742376260321. The next prime is 12742376260343. The reversal of 12742376260340 is 4306267324721.

It can be written as a sum of positive squares in 4 ways, for example, as 162500896996 + 12579875363344 = 403114^2 + 3546812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12742376260343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 870941 + ... + 5122820.

It is an arithmetic number, because the mean of its divisors is an integer number (1114968597883).

Almost surely, 212742376260340 is an apocalyptic number.

12742376260340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12742376260340 is an abundant number, since it is smaller than the sum of its proper divisors (14016870088852).

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

12742376260340 is a wasteful number, since it uses less digits than its factorization.

12742376260340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100067 (or 6100065 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 47.

The spelling of 12742376260340 in words is "twelve trillion, seven hundred forty-two billion, three hundred seventy-six million, two hundred sixty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 106297 212594 425188 531485 1062970 2125940 5993761 11987522 23975044 29968805 59937610 119875220 637118813017 1274237626034 2548475252068 3185594065085 6371188130170 12742376260340