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45153138289131 = 337367093414629
BaseRepresentation
bin10100100010001000010001…
…10001001010100111101011
312220212121010211202020222000
422101010020301022213223
521404242111400223011
6240011022041502043
712340130600556135
oct1221041061124753
9186777124666860
1045153138289131
111342937a473864
125092b927a1923
131c26bcc1510a2
14b215d0336055
1553480b7cb356
hex291108c4a9eb

45153138289131 has 32 divisors (see below), whose sum is σ = 67820015208000. Its totient is φ = 29685300712704.

The previous prime is 45153138289087. The next prime is 45153138289187. The reversal of 45153138289131 is 13198283135154.

It is a happy number.

45153138289131 is a `hidden beast` number, since 4 + 5 + 1 + 53 + 1 + 382 + 89 + 131 = 666.

It is not a de Polignac number, because 45153138289131 - 27 = 45153138289003 is a prime.

It is a super-2 number, since 2×451531382891312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45153138289531) 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 31 ways as a sum of consecutive naturals, for example, 11516125 + ... + 14930753.

It is an arithmetic number, because the mean of its divisors is an integer number (2119375475250).

Almost surely, 245153138289131 is an apocalyptic number.

45153138289131 is a deficient number, since it is larger than the sum of its proper divisors (22666876918869).

45153138289131 is a wasteful number, since it uses less digits than its factorization.

45153138289131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421420 (or 3421414 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 45153138289131 in words is "forty-five trillion, one hundred fifty-three billion, one hundred thirty-eight million, two hundred eighty-nine thousand, one hundred thirty-one".

Divisors: 1 3 9 27 73 219 657 1971 6709 20127 60381 181143 489757 1469271 3414629 4407813 10243887 13223439 30731661 92194983 249267917 747803751 2243411253 6730233759 22908745961 68726237883 206178713649 618536140947 1672338455153 5017015365459 15051046096377 45153138289131