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47577038849 is a prime number
BaseRepresentation
bin101100010011110100…
…000000000000000001
311112210201120222202222
4230103310000000001
51234414210220344
633505005020425
73303001105034
oct542364000001
9145721528688
1047577038849
11191a4aa851a
129279554715
134642aa4bc2
142434a1501b
151386cd55ee
hexb13d00001

47577038849 has 2 divisors, whose sum is σ = 47577038850. Its totient is φ = 47577038848.

The previous prime is 47577038837. The next prime is 47577038857. The reversal of 47577038849 is 94883077574.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43386807025 + 4190231824 = 208295^2 + 64732^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-47577038849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 47577038791 and 47577038800.

It is not a weakly prime, because it can be changed into another prime (47577032849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23788519424 + 23788519425.

It is an arithmetic number, because the mean of its divisors is an integer number (23788519425).

It is a Proth number, since it is equal to 45373 ⋅ 220 + 1 and 45373 < 220.

Almost surely, 247577038849 is an apocalyptic number.

It is an amenable number.

47577038849 is a deficient number, since it is larger than the sum of its proper divisors (1).

47577038849 is an equidigital number, since it uses as much as digits as its factorization.

47577038849 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 47416320, while the sum is 62.

The spelling of 47577038849 in words is "forty-seven billion, five hundred seventy-seven million, thirty-eight thousand, eight hundred forty-nine".