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450001457540 = 22527138293429
BaseRepresentation
bin1101000110001100010…
…11010101000110000100
31121000112101010120222122
412203012023111012010
524333100333120130
6542421112545112
744340312164105
oct6430613250604
91530471116878
10450001457540
11163932100528
12732686b2198
133358679b5cb
1417accb923ac
15ba8b47a2e5
hex68c62d5184

450001457540 has 24 divisors (see below), whose sum is σ = 945351498840. Its totient is φ = 179934213888.

The previous prime is 450001457537. The next prime is 450001457561. The reversal of 450001457540 is 45754100054.

It can be written as a sum of positive squares in 4 ways, for example, as 238988010496 + 211013447044 = 488864^2 + 459362^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 450001457540.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4092455 + ... + 4200974.

It is an arithmetic number, because the mean of its divisors is an integer number (39389645785).

Almost surely, 2450001457540 is an apocalyptic number.

It is an amenable number.

450001457540 is an abundant number, since it is smaller than the sum of its proper divisors (495350041300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450001457540 is a wasteful number, since it uses less digits than its factorization.

450001457540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8296151 (or 8296149 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 35.

Adding to 450001457540 its reverse (45754100054), we get a palindrome (495755557594).

It can be divided in two parts, 4500014 and 57540, that added together give a palindrome (4557554).

The spelling of 450001457540 in words is "four hundred fifty billion, one million, four hundred fifty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 2713 5426 10852 13565 27130 54260 8293429 16586858 33173716 41467145 82934290 165868580 22500072877 45000145754 90000291508 112500364385 225000728770 450001457540