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450020503304 = 2317971374992
BaseRepresentation
bin1101000110001110100…
…11111110111100001000
31121000120200222012212022
412203013103332330020
524333120222101204
6542423033104012
744340633110111
oct6430723767410
91530520865768
10450020503304
11163941929929
1273272b58008
133358a7095a8
1417ad150d208
15ba8ce8d5be
hex68c74fef08

450020503304 has 96 divisors (see below), whose sum is σ = 911047911480. Its totient is φ = 207644295168.

The previous prime is 450020503301. The next prime is 450020503333. The reversal of 450020503304 is 403305020054.

It can be written as a sum of positive squares in 4 ways, for example, as 427310616100 + 22709887204 = 653690^2 + 150698^2 .

It is a super-4 number, since 4×4500205033044 (a number of 48 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (450020503301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 901844447 + ... + 901844945.

Almost surely, 2450020503304 is an apocalyptic number.

It is an amenable number.

450020503304 is an abundant number, since it is smaller than the sum of its proper divisors (461027408176).

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

450020503304 is a wasteful number, since it uses less digits than its factorization.

450020503304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

Adding to 450020503304 its reverse (403305020054), we get a palindrome (853325523358).

The spelling of 450020503304 in words is "four hundred fifty billion, twenty million, five hundred three thousand, three hundred four".

Divisors: 1 2 4 8 17 34 68 97 136 137 194 274 388 499 548 776 998 1096 1649 1996 2329 3298 3992 4658 6596 8483 9316 13192 13289 16966 18632 26578 33932 48403 53156 67864 68363 96806 106312 136726 193612 225913 249001 273452 387224 451826 498002 546904 822851 903652 996004 1162171 1645702 1807304 1992008 2324342 3291404 4233017 4648684 6582808 6631211 8466034 9297368 13262422 16932068 24153097 26524844 33864136 34113137 48306194 53049688 68226274 96612388 112730587 136452548 193224776 225461174 272905096 410602649 450922348 579923329 821205298 901844696 1159846658 1642410596 2319693316 3284821192 3308974289 4639386632 6617948578 13235897156 26471794312 56252562913 112505125826 225010251652 450020503304