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12374560081 = 1324321992
BaseRepresentation
bin10111000011001010…
…01100110101010001
31011221101220210012001
423201211030311101
5200320341410311
65403525434001
7615440011432
oct134145146521
934841823161
1012374560081
115280131164
12249426b901
131222939900
1485567d489
154c65ab4c1
hex2e194cd51

12374560081 has 27 divisors (see below), whose sum is σ = 13787822619. Its totient is φ = 11100961872.

The previous prime is 12374560069. The next prime is 12374560091. The reversal of 12374560081 is 18006547321.

The square root of 12374560081 is 111241.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1830556225 + 10544003856 = 42785^2 + 102684^2 .

It is not a de Polignac number, because 12374560081 - 29 = 12374559569 is a prime.

It is a super-2 number, since 2×123745600812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12374560081.

It is not an unprimeable number, because it can be changed into a prime (12374560091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62183620 + ... + 62183818.

It is an arithmetic number, because the mean of its divisors is an integer number (510660097).

Almost surely, 212374560081 is an apocalyptic number.

12374560081 is the 111241-st square number.

12374560081 is the 55621-st centered octagonal number.

It is an amenable number.

12374560081 is a deficient number, since it is larger than the sum of its proper divisors (1413262538).

12374560081 is an frugal number, since it uses more digits than its factorization.

12374560081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 12374560081 in words is "twelve billion, three hundred seventy-four million, five hundred sixty thousand, eighty-one".

Divisors: 1 13 43 169 199 559 1849 2587 7267 8557 24037 33631 39601 111241 312481 367951 514813 1446133 1702843 4783363 6692569 22136959 62183719 73222249 287780467 951889237 12374560081