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450576422055 = 32517929634003
BaseRepresentation
bin1101000111010000111…
…00101001010010100111
31121002000110000211000200
412203220130221102213
524340240031001210
6542554132241543
744360463252354
oct6435034512247
91532013024020
10450576422055
111640a7709911
12733a91702b3
133364893cab6
1417b4529d62b
15bac1ba00c0
hex68e87294a7

450576422055 has 48 divisors (see below), whose sum is σ = 827831702880. Its totient is φ = 225927880704.

The previous prime is 450576422033. The next prime is 450576422057. The reversal of 450576422055 is 550224675054.

450576422055 is a `hidden beast` number, since 4 + 5 + 0 + 576 + 4 + 2 + 20 + 55 = 666.

It is not a de Polignac number, because 450576422055 - 29 = 450576421543 is a prime.

It is a super-2 number, since 2×4505764220552 (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 450576422055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450576422057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393684 + ... + 1027686.

It is an arithmetic number, because the mean of its divisors is an integer number (17246493810).

Almost surely, 2450576422055 is an apocalyptic number.

450576422055 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

450576422055 is a deficient number, since it is larger than the sum of its proper divisors (377255280825).

450576422055 is a wasteful number, since it uses less digits than its factorization.

450576422055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634960 (or 634957 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 450576422055 in words is "four hundred fifty billion, five hundred seventy-six million, four hundred twenty-two thousand, fifty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 929 2787 4645 8361 13935 15793 41805 47379 78965 142137 236895 634003 710685 1902009 3170015 5706027 9510045 10778051 28530135 32334153 53890255 97002459 161670765 485012295 588988787 1766966361 2944943935 5300899083 8834831805 10012809379 26504495415 30038428137 50064046895 90115284411 150192140685 450576422055