Search a number
-
+
45733429434349 = 292775693194253
BaseRepresentation
bin10100110011000001001001…
…10100001101011111101101
312222221001222022220202100201
422121200210310031133231
521443244030413344344
6241133351502553501
712430063005120136
oct1231404464153755
9188831868822321
1045733429434349
1113632490714018
125167540b98891
131c6984a821237
14b4171cc40c8d
1554497123d4d4
hex299824d0d7ed

45733429434349 has 8 divisors (see below), whose sum is σ = 47481240078360. Its totient is φ = 43997005179456.

The previous prime is 45733429434337. The next prime is 45733429434367. The reversal of 45733429434349 is 94343492433754.

It is a happy number.

45733429434349 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 4 ways, for example, as 547903442025 + 45185525992324 = 740205^2 + 6722018^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45733429434349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45733426434349) 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 in 7 ways as a sum of consecutive naturals, for example, 2846589094 + ... + 2846605159.

It is an arithmetic number, because the mean of its divisors is an integer number (5935155009795).

Almost surely, 245733429434349 is an apocalyptic number.

It is an amenable number.

45733429434349 is a deficient number, since it is larger than the sum of its proper divisors (1747810644011).

45733429434349 is a wasteful number, since it uses less digits than its factorization.

45733429434349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5693194559.

The product of its digits is 470292480, while the sum is 64.

The spelling of 45733429434349 in words is "forty-five trillion, seven hundred thirty-three billion, four hundred twenty-nine million, four hundred thirty-four thousand, three hundred forty-nine".

Divisors: 1 29 277 8033 5693194253 165102633337 1577014808081 45733429434349