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47055405461 is a prime number
BaseRepresentation
bin101011110100101110…
…001000000110010101
311111110101001021021212
4223310232020012111
51232332140433321
633341132351205
73254035230011
oct536456100625
9144411037255
1047055405461
1118a57605649
129152915505
13458b9b70ac
1423c562b541
1513560e755b
hexaf4b88195

47055405461 has 2 divisors, whose sum is σ = 47055405462. Its totient is φ = 47055405460.

The previous prime is 47055405457. The next prime is 47055405487. The reversal of 47055405461 is 16450455074.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30767264836 + 16288140625 = 175406^2 + 127625^2 .

It is a cyclic number.

It is not a de Polignac number, because 47055405461 - 22 = 47055405457 is a prime.

It is a super-2 number, since 2×470554054612 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47055405401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23527702730 + 23527702731.

It is an arithmetic number, because the mean of its divisors is an integer number (23527702731).

Almost surely, 247055405461 is an apocalyptic number.

It is an amenable number.

47055405461 is a deficient number, since it is larger than the sum of its proper divisors (1).

47055405461 is an equidigital number, since it uses as much as digits as its factorization.

47055405461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336000, while the sum is 41.

The spelling of 47055405461 in words is "forty-seven billion, fifty-five million, four hundred five thousand, four hundred sixty-one".