Search a number
-
+
46522622401 = 3761193106801
BaseRepresentation
bin101011010100111101…
…101110000111000001
311110002020112002022221
4223110331232013001
51230234242404101
633212221131041
73234605523433
oct532475560701
9143066462287
1046522622401
1118803897872
1290243b9a81
1345054c4348
142374980653
151324455aa1
hexad4f6e1c1

46522622401 has 16 divisors (see below), whose sum is σ = 48815349328. Its totient is φ = 44292096000.

The previous prime is 46522622339. The next prime is 46522622417. The reversal of 46522622401 is 10422622564.

It can be written as a sum of positive squares in 8 ways, for example, as 6473007025 + 40049615376 = 80455^2 + 200124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-46522622401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46522622101) 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 in 15 ways as a sum of consecutive naturals, for example, 382201 + ... + 489001.

It is an arithmetic number, because the mean of its divisors is an integer number (3050959333).

Almost surely, 246522622401 is an apocalyptic number.

It is an amenable number.

46522622401 is a deficient number, since it is larger than the sum of its proper divisors (2292726927).

46522622401 is a wasteful number, since it uses less digits than its factorization.

46522622401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107092.

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 46522622401 in words is "forty-six billion, five hundred twenty-two million, six hundred twenty-two thousand, four hundred one".

Divisors: 1 37 61 193 2257 7141 11773 106801 435601 3951637 6514861 20612593 241049857 762665941 1257368173 46522622401