Search a number
-
+
45730238751509 = 137348187817441
BaseRepresentation
bin10100110010111011001101…
…01000101110001100010101
312222220202201222002021100012
422121131212220232030111
521443221012110022014
6241132103123330005
712426620642553614
oct1231354650561425
9188822658067305
1045730238751509
11136310a3654854
1251669b0520905
131c6945c795520
14b414d919d87b
15544836080c3e
hex299766a2e315

45730238751509 has 8 divisors (see below), whose sum is σ = 49922578869912. Its totient is φ = 41634274268160.

The previous prime is 45730238751499. The next prime is 45730238751521. The reversal of 45730238751509 is 90515783203754.

45730238751509 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 2537043696100 + 43193195055409 = 1592810^2 + 6572153^2 .

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-45730238751509 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 (45730238751559) 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, 24093907772 + ... + 24093909669.

It is an arithmetic number, because the mean of its divisors is an integer number (6240322358739).

Almost surely, 245730238751509 is an apocalyptic number.

It is an amenable number.

45730238751509 is a deficient number, since it is larger than the sum of its proper divisors (4192340118403).

45730238751509 is a wasteful number, since it uses less digits than its factorization.

45730238751509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48187817527.

The product of its (nonzero) digits is 31752000, while the sum is 59.

The spelling of 45730238751509 in words is "forty-five trillion, seven hundred thirty billion, two hundred thirty-eight million, seven hundred fifty-one thousand, five hundred nine".

Divisors: 1 13 73 949 48187817441 626441626733 3517710673193 45730238751509