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47470680810401 is a prime number
BaseRepresentation
bin10101100101100101000010…
…00100010010001110100001
320020002011010100212112212012
422302302201010102032201
522210224423241413101
6244543421341042305
712666433503143462
oct1262624104221641
9206064110775765
1047470680810401
1114142225839802
1253a8176b56395
132064609a29854
14ba1843aaad69
15574c4c0a6bbb
hex2b2ca11123a1

47470680810401 has 2 divisors, whose sum is σ = 47470680810402. Its totient is φ = 47470680810400.

The previous prime is 47470680810391. The next prime is 47470680810403. The reversal of 47470680810401 is 10401808607474.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33020837133376 + 14449843677025 = 5746376^2 + 3801295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47470680810401 is a prime.

It is a super-3 number, since 3×474706808104013 (a number of 42 digits) contains 333 as substring.

Together with 47470680810403, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 47470680810401.

It is not a weakly prime, because it can be changed into another prime (47470680810403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23735340405200 + 23735340405201.

It is an arithmetic number, because the mean of its divisors is an integer number (23735340405201).

Almost surely, 247470680810401 is an apocalyptic number.

It is an amenable number.

47470680810401 is a deficient number, since it is larger than the sum of its proper divisors (1).

47470680810401 is an equidigital number, since it uses as much as digits as its factorization.

47470680810401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1204224, while the sum is 50.

The spelling of 47470680810401 in words is "forty-seven trillion, four hundred seventy billion, six hundred eighty million, eight hundred ten thousand, four hundred one".