Search a number
-
+
47729863681 is a prime number
BaseRepresentation
bin101100011100111010…
…111110110000000001
311120012101011022000221
4230130322332300001
51240222321114211
633532104343041
73306535101343
oct543472766001
9146171138027
1047729863681
111927329a035
129300774a81
1346686527b6
14244b037293
151395421c71
hexb1cebec01

47729863681 has 2 divisors, whose sum is σ = 47729863682. Its totient is φ = 47729863680.

The previous prime is 47729863669. The next prime is 47729863739. The reversal of 47729863681 is 18636892774.

It is a happy number.

47729863681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43197881281 + 4531982400 = 207841^2 + 67320^2 .

It is a cyclic number.

It is not a de Polignac number, because 47729863681 - 219 = 47729339393 is a prime.

It is a super-2 number, since 2×477298636812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (47729863661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23864931840 + 23864931841.

It is an arithmetic number, because the mean of its divisors is an integer number (23864931841).

Almost surely, 247729863681 is an apocalyptic number.

It is an amenable number.

47729863681 is a deficient number, since it is larger than the sum of its proper divisors (1).

47729863681 is an equidigital number, since it uses as much as digits as its factorization.

47729863681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 24385536, while the sum is 61.

The spelling of 47729863681 in words is "forty-seven billion, seven hundred twenty-nine million, eight hundred sixty-three thousand, six hundred eighty-one".