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46781667337945 = 517109246323757
BaseRepresentation
bin10101010001100001101001…
…01010011110011011011001
320010122021122211110120121211
422220300310222132123121
522112432323314303240
6243255111251103121
712565602220231501
oct1250606452363331
9203567584416554
1046781667337945
11139a6aa2686941
1252b67258a1aa1
13201465277aca7
14b7a35d96aa01
15561d727cbbea
hex2a8c34a9e6d9

46781667337945 has 24 divisors (see below), whose sum is σ = 59990563675224. Its totient is φ = 34900688360448.

The previous prime is 46781667337927. The next prime is 46781667337961. The reversal of 46781667337945 is 54973376618764.

46781667337945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 10655184435984 + 36126482901961 = 3264228^2 + 6010531^2 .

It is not a de Polignac number, because 46781667337945 - 27 = 46781667337817 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 22151994 + ... + 24171763.

It is an arithmetic number, because the mean of its divisors is an integer number (2499606819801).

Almost surely, 246781667337945 is an apocalyptic number.

It is an amenable number.

46781667337945 is a deficient number, since it is larger than the sum of its proper divisors (13208896337279).

46781667337945 is a wasteful number, since it uses less digits than its factorization.

46781667337945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46323997 (or 46323888 counting only the distinct ones).

The product of its digits is 3840721920, while the sum is 76.

The spelling of 46781667337945 in words is "forty-six trillion, seven hundred eighty-one billion, six hundred sixty-seven million, three hundred thirty-seven thousand, nine hundred forty-five".

Divisors: 1 5 17 85 109 545 1853 9265 11881 59405 201977 1009885 46323757 231618785 787503869 3937519345 5049289513 25246447565 85837921721 429189608605 550372556917 2751862784585 9356333467589 46781667337945