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46355251809661 is a prime number
BaseRepresentation
bin10101000101000111011000…
…10100010100110101111101
320002010112000012102100001121
422202203230110110311331
522033441023430402121
6242331150402310541
712523025232110464
oct1242435424246575
9202115005370047
1046355251809661
1113852174193133
125247b60058451
131cb338757ba52
14b6386b4299db
15555c16d00141
hex2a28ec514d7d

46355251809661 has 2 divisors, whose sum is σ = 46355251809662. Its totient is φ = 46355251809660.

The previous prime is 46355251809557. The next prime is 46355251809707. The reversal of 46355251809661 is 16690815255364.

46355251809661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39283875259225 + 7071376550436 = 6267685^2 + 2659206^2 .

It is a cyclic number.

It is not a de Polignac number, because 46355251809661 - 29 = 46355251809149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 46355251809661.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (46355251803661) 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, 23177625904830 + 23177625904831.

It is an arithmetic number, because the mean of its divisors is an integer number (23177625904831).

Almost surely, 246355251809661 is an apocalyptic number.

It is an amenable number.

46355251809661 is a deficient number, since it is larger than the sum of its proper divisors (1).

46355251809661 is an equidigital number, since it uses as much as digits as its factorization.

46355251809661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656000, while the sum is 61.

The spelling of 46355251809661 in words is "forty-six trillion, three hundred fifty-five billion, two hundred fifty-one million, eight hundred nine thousand, six hundred sixty-one".