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47972300305 = 5411877124673
BaseRepresentation
bin101100101011010111…
…110011011000010001
311120211021100100120011
4230223113303120101
51241221402102210
634012124514521
73315540552556
oct545327633021
9146737310504
1047972300305
1119388127286
1293699aba41
1346a6947717
142471304a2d
1513ab85ed8a
hexb2b5f3611

47972300305 has 16 divisors (see below), whose sum is σ = 59002718544. Its totient is φ = 37421547520.

The previous prime is 47972300297. The next prime is 47972300317. The reversal of 47972300305 is 50300327974.

It can be written as a sum of positive squares in 8 ways, for example, as 311734336 + 47660565969 = 17656^2 + 218313^2 .

It is not a de Polignac number, because 47972300305 - 23 = 47972300297 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 322449 + ... + 447121.

It is an arithmetic number, because the mean of its divisors is an integer number (3687669909).

Almost surely, 247972300305 is an apocalyptic number.

It is an amenable number.

47972300305 is a deficient number, since it is larger than the sum of its proper divisors (11030418239).

47972300305 is a wasteful number, since it uses less digits than its factorization.

47972300305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126596.

The product of its (nonzero) digits is 158760, while the sum is 40.

The spelling of 47972300305 in words is "forty-seven billion, nine hundred seventy-two million, three hundred thousand, three hundred five".

Divisors: 1 5 41 205 1877 9385 76957 124673 384785 623365 5111593 25557965 234011221 1170056105 9594460061 47972300305