Search a number
-
+
46145213581 is a prime number
BaseRepresentation
bin101010111110011110…
…000001010010001101
311102002221100201202111
4222332132001102031
51224001133313311
633110540024021
73222343562245
oct527636012215
9142087321674
1046145213581
111862a851a55
128b39b32011
13447526270c
14233a7bab25
151301255d21
hexabe78148d

46145213581 has 2 divisors, whose sum is σ = 46145213582. Its totient is φ = 46145213580.

The previous prime is 46145213563. The next prime is 46145213623. The reversal of 46145213581 is 18531254164.

46145213581 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., 46014111081 + 131102500 = 214509^2 + 11450^2 .

It is a cyclic number.

It is not a de Polignac number, because 46145213581 - 213 = 46145205389 is a prime.

It is a super-3 number, since 3×461452135813 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (46145213551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23072606790 + 23072606791.

It is an arithmetic number, because the mean of its divisors is an integer number (23072606791).

Almost surely, 246145213581 is an apocalyptic number.

It is an amenable number.

46145213581 is a deficient number, since it is larger than the sum of its proper divisors (1).

46145213581 is an equidigital number, since it uses as much as digits as its factorization.

46145213581 is an evil number, because the sum of its binary digits is even.

The product of its digits is 115200, while the sum is 40.

The spelling of 46145213581 in words is "forty-six billion, one hundred forty-five million, two hundred thirteen thousand, five hundred eighty-one".