Search a number
-
+
450334424416050 = 23452111193685041
BaseRepresentation
bin110011001100100111010011…
…1011001011011111100110010
32012001111112212022221221020000
41212121032213121123330302
5433011234400122303200
64233440440100130430
7163566405564114126
oct14631164731337462
92161445768857200
10450334424416050
111205438364302a9
12426119b3696a16
131643847a995b85
147d2c433c71586
15370e3726d4300
hex19993a765bf32

450334424416050 has 60 divisors (see below), whose sum is σ = 1251262537777626. Its totient is φ = 120089179843200.

The previous prime is 450334424416007. The next prime is 450334424416067. The reversal of 450334424416050 is 50614424433054.

450334424416050 is a `hidden beast` number, since 4 + 5 + 0 + 3 + 3 + 442 + 44 + 160 + 5 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 256151286344529 + 194183138071521 = 16004727^2 + 13934961^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 450334424415987 and 450334424416005.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 55596838471 + ... + 55596846570.

Almost surely, 2450334424416050 is an apocalyptic number.

450334424416050 is an abundant number, since it is smaller than the sum of its proper divisors (800928113361576).

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

450334424416050 is a wasteful number, since it uses less digits than its factorization.

450334424416050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111193685065 (or 111193685051 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 450334424416050 in words is "four hundred fifty trillion, three hundred thirty-four billion, four hundred twenty-four million, four hundred sixteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 4050 111193685041 222387370082 333581055123 555968425205 667162110246 1000743165369 1111936850410 1667905275615 2001486330738 2779842126025 3002229496107 3335810551230 5003715826845 5559684252050 6004458992214 8339526378075 9006688488321 10007431653690 15011147480535 16679052756150 18013376976642 25018579134225 30022294961070 45033442441605 50037158268450 75055737402675 90066884883210 150111474805350 225167212208025 450334424416050