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47958993101 is a prime number
BaseRepresentation
bin101100101010100101…
…000010100011001101
311120210100022021111202
4230222211002203031
51241210000234401
634010531355245
73315316500215
oct545245024315
9146710267452
1047958993101
1119380668398
129365452b25
1346a3c68736
14246d63d245
1513aa5d206b
hexb2a9428cd

47958993101 has 2 divisors, whose sum is σ = 47958993102. Its totient is φ = 47958993100.

The previous prime is 47958993067. The next prime is 47958993151. The reversal of 47958993101 is 10139985974.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27531437476 + 20427555625 = 165926^2 + 142925^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47958993101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47958993151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23979496550 + 23979496551.

It is an arithmetic number, because the mean of its divisors is an integer number (23979496551).

Almost surely, 247958993101 is an apocalyptic number.

It is an amenable number.

47958993101 is a deficient number, since it is larger than the sum of its proper divisors (1).

47958993101 is an equidigital number, since it uses as much as digits as its factorization.

47958993101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2449440, while the sum is 56.

The spelling of 47958993101 in words is "forty-seven billion, nine hundred fifty-eight million, nine hundred ninety-three thousand, one hundred one".