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46124777381 is a prime number
BaseRepresentation
bin101010111101010000…
…000011111110100101
311102001111220110120012
4222331100003332211
51223430420334011
633104530020005
73222005065424
oct527520037645
9142044813505
1046124777381
111861a263a31
128b33117605
134470c588a7
142337bbb2bb
1512ee56aa8b
hexabd403fa5

46124777381 has 2 divisors, whose sum is σ = 46124777382. Its totient is φ = 46124777380.

The previous prime is 46124777249. The next prime is 46124777471. The reversal of 46124777381 is 18377742164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45767756356 + 357021025 = 213934^2 + 18895^2 .

It is a cyclic number.

It is not a de Polignac number, because 46124777381 - 218 = 46124515237 is a prime.

It is a super-2 number, since 2×461247773812 (a number of 22 digits) contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (46124717381) by changing a digit.

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 as a sum of consecutive naturals, namely, 23062388690 + 23062388691.

It is an arithmetic number, because the mean of its divisors is an integer number (23062388691).

Almost surely, 246124777381 is an apocalyptic number.

It is an amenable number.

46124777381 is a deficient number, since it is larger than the sum of its proper divisors (1).

46124777381 is an equidigital number, since it uses as much as digits as its factorization.

46124777381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1580544, while the sum is 50.

The spelling of 46124777381 in words is "forty-six billion, one hundred twenty-four million, seven hundred seventy-seven thousand, three hundred eighty-one".