Search a number
-
+
450045180416 = 291367614961
BaseRepresentation
bin1101000110010001100…
…10000111101000000000
31121000122102101221111102
412203020302013220000
524333143031233131
6542425314033532
744341352626046
oct6431062075000
91530572357442
10450045180416
11163954854137
127327b2788a8
1333592869830
1417ad48d4396
15ba902151cb
hex68c8c87a00

450045180416 has 40 divisors (see below), whose sum is σ = 968381485764. Its totient is φ = 207713157120.

The previous prime is 450045180401. The next prime is 450045180433. The reversal of 450045180416 is 614081540054.

It can be written as a sum of positive squares in 2 ways, for example, as 335194681600 + 114850498816 = 578960^2 + 338896^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 450045180416.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33800825 + ... + 33814136.

Almost surely, 2450045180416 is an apocalyptic number.

It is an amenable number.

450045180416 is an abundant number, since it is smaller than the sum of its proper divisors (518336305348).

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

450045180416 is an equidigital number, since it uses as much as digits as its factorization.

450045180416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67614992 (or 67614976 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The spelling of 450045180416 in words is "four hundred fifty billion, forty-five million, one hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 3328 6656 67614961 135229922 270459844 540919688 878994493 1081839376 1757988986 2163678752 3515977972 4327357504 7031955944 8654715008 14063911888 17309430016 28127823776 34618860032 56255647552 112511295104 225022590208 450045180416