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46354666761661 is a prime number
BaseRepresentation
bin10101000101000110010010…
…11100100010110110111101
320002010110111102112211002011
422202203021130202312331
522033433324142333121
6242331012342531221
712523004566224256
oct1242431134426675
9202113442484064
1046354666761661
11138519a3a17995
125247a18136b11
131cb32c32b99bb
14b63813855b2d
15555bd07877e1
hex2a28c9722dbd

46354666761661 has 2 divisors, whose sum is σ = 46354666761662. Its totient is φ = 46354666761660.

The previous prime is 46354666761619. The next prime is 46354666761721. The reversal of 46354666761661 is 16616766645364.

46354666761661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32839558597561 + 13515108164100 = 5730581^2 + 3676290^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-46354666761661 is a prime.

It is a super-4 number, since 4×463546667616614 (a number of 56 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (46354666762661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23177333380830 + 23177333380831.

It is an arithmetic number, because the mean of its divisors is an integer number (23177333380831).

Almost surely, 246354666761661 is an apocalyptic number.

It is an amenable number.

46354666761661 is a deficient number, since it is larger than the sum of its proper divisors (1).

46354666761661 is an equidigital number, since it uses as much as digits as its factorization.

46354666761661 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 470292480, while the sum is 67.

The spelling of 46354666761661 in words is "forty-six trillion, three hundred fifty-four billion, six hundred sixty-six million, seven hundred sixty-one thousand, six hundred sixty-one".