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450345357135 = 32531322828213
BaseRepresentation
bin1101000110110101010…
…11001100111101001111
31121001102100020111112200
412203122223030331033
524334301402412020
6542515155532543
744351656242612
oct6433253147517
91531370214480
10450345357135
11163a99239373
12733438ba153
133360cac9bab
1417b22712179
15baab75b590
hex68daaccf4f

450345357135 has 24 divisors (see below), whose sum is σ = 805779222144. Its totient is φ = 232436312640.

The previous prime is 450345357131. The next prime is 450345357151. The reversal of 450345357135 is 531753543054.

450345357135 is a `hidden beast` number, since 4 + 5 + 0 + 3 + 45 + 3 + 571 + 35 = 666.

It is not a de Polignac number, because 450345357135 - 22 = 450345357131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450345357131) 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 23 ways as a sum of consecutive naturals, for example, 161412712 + ... + 161415501.

It is an arithmetic number, because the mean of its divisors is an integer number (33574134256).

Almost surely, 2450345357135 is an apocalyptic number.

450345357135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

450345357135 is a deficient number, since it is larger than the sum of its proper divisors (355433865009).

450345357135 is a wasteful number, since it uses less digits than its factorization.

450345357135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322828255 (or 322828252 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 45.

The spelling of 450345357135 in words is "four hundred fifty billion, three hundred forty-five million, three hundred fifty-seven thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1395 322828213 968484639 1614141065 2905453917 4842423195 10007674603 14527269585 30023023809 50038373015 90069071427 150115119045 450345357135