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450227326815 = 325729174128309
BaseRepresentation
bin1101000110100111010…
…00111100111101011111
31121001010010010221101100
412203103220330331133
524334031143424230
6542455342044143
744346024064110
oct6432350747537
91531103127340
10450227326815
11163a38652452
1273310279653
13335c1512676
1417b10b8a207
15baa11e4660
hex68d3a3cf5f

450227326815 has 96 divisors (see below), whose sum is σ = 923195894400. Its totient is φ = 198599869440.

The previous prime is 450227326753. The next prime is 450227326849. The reversal of 450227326815 is 518623722054.

450227326815 is a `hidden beast` number, since 4 + 502 + 2 + 73 + 2 + 68 + 15 = 666.

It is not a de Polignac number, because 450227326815 - 27 = 450227326687 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15889881 + ... + 15918189.

It is an arithmetic number, because the mean of its divisors is an integer number (9616623900).

Almost surely, 2450227326815 is an apocalyptic number.

450227326815 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

450227326815 is an abundant number, since it is smaller than the sum of its proper divisors (472968567585).

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

450227326815 is a wasteful number, since it uses less digits than its factorization.

450227326815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30097 (or 30094 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 450227326815 in words is "four hundred fifty billion, two hundred twenty-seven million, three hundred twenty-six thousand, eight hundred fifteen".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 609 1015 1305 1741 1827 3045 5223 8705 9135 12187 15669 26115 28309 36561 50489 60935 78345 84927 109683 141545 151467 182805 198163 252445 254781 353423 424635 454401 548415 594489 757335 820961 990815 1060269 1273905 1767115 1783467 2272005 2462883 2972445 3180807 4104805 5301345 5746727 7388649 8917335 12314415 15904035 17240181 28733635 36943245 49285969 51720543 86200905 147857907 246429845 258602715 345001783 443573721 739289535 1035005349 1429293101 1725008915 2217868605 3105016047 4287879303 5175026745 7146465505 10005051707 12863637909 15525080235 21439396515 30015155121 50025258535 64318189545 90045465363 150075775605 450227326815