Search a number
-
+
47507505472253 is a prime number
BaseRepresentation
bin10101100110101001100111…
…11111001110001011111101
320020012200011201222012022002
422303110303333032023331
522211330332400103003
6245012351405232045
713002206162460611
oct1263246377161375
9206180151865262
1047507505472253
1114156902359242
1253b3333562625
132067c27c968a8
14ba353866d341
15575ba4e12a88
hex2b3533fce2fd

47507505472253 has 2 divisors, whose sum is σ = 47507505472254. Its totient is φ = 47507505472252.

The previous prime is 47507505472223. The next prime is 47507505472289. The reversal of 47507505472253 is 35227450570574.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37221200442724 + 10286305029529 = 6100918^2 + 3207227^2 .

It is a cyclic number.

It is not a de Polignac number, because 47507505472253 - 222 = 47507501277949 is a prime.

It is a super-2 number, since 2×475075054722532 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47507505472223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23753752736126 + 23753752736127.

It is an arithmetic number, because the mean of its divisors is an integer number (23753752736127).

Almost surely, 247507505472253 is an apocalyptic number.

It is an amenable number.

47507505472253 is a deficient number, since it is larger than the sum of its proper divisors (1).

47507505472253 is an equidigital number, since it uses as much as digits as its factorization.

47507505472253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41160000, while the sum is 56.

The spelling of 47507505472253 in words is "forty-seven trillion, five hundred seven billion, five hundred five million, four hundred seventy-two thousand, two hundred fifty-three".