Search a number
-
+
36072376115449 is a prime number
BaseRepresentation
bin10000011001110110000010…
…01010100010000011111001
311201201111002220122220212211
420030323001022202003321
514212002211241143244
6204415230521335121
710412100051625342
oct1014730112420371
9151644086586784
1036072376115449
1110548232a04253
1240670999374a1
1317187c228ba5b
148c9cab5950c9
154284d2c7b934
hex20cec12a20f9

36072376115449 has 2 divisors, whose sum is σ = 36072376115450. Its totient is φ = 36072376115448.

The previous prime is 36072376115429. The next prime is 36072376115471. The reversal of 36072376115449 is 94451167327063.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25299572097424 + 10772804018025 = 5029868^2 + 3282195^2 .

It is a cyclic number.

It is not a de Polignac number, because 36072376115449 - 235 = 36038016377081 is a prime.

It is a super-2 number, since 2×360723761154492 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36072376115393 and 36072376115402.

It is not a weakly prime, because it can be changed into another prime (36072376115429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18036188057724 + 18036188057725.

It is an arithmetic number, because the mean of its divisors is an integer number (18036188057725).

Almost surely, 236072376115449 is an apocalyptic number.

It is an amenable number.

36072376115449 is a deficient number, since it is larger than the sum of its proper divisors (1).

36072376115449 is an equidigital number, since it uses as much as digits as its factorization.

36072376115449 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22861440, while the sum is 58.

The spelling of 36072376115449 in words is "thirty-six trillion, seventy-two billion, three hundred seventy-six million, one hundred fifteen thousand, four hundred forty-nine".