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450837706133 = 4114999774021
BaseRepresentation
bin1101000111110000000…
…01010111010110010101
31121002200122200102101202
412203320001113112111
524341303423044013
6543040104402245
744400115162463
oct6437001272625
91532618612352
10450837706133
1116422114a471
1273460776385
133368ab03669
1417b6bc75833
15bad9ab2858
hex68f8057595

450837706133 has 16 divisors (see below), whose sum is σ = 465405922800. Its totient is φ = 436445606400.

The previous prime is 450837706013. The next prime is 450837706169. The reversal of 450837706133 is 331607738054.

It can be written as a sum of positive squares in 8 ways, for example, as 69675937444 + 381161768689 = 263962^2 + 617383^2 .

It is a cyclic number.

It is not a de Polignac number, because 450837706133 - 214 = 450837689749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450837706633) 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 15 ways as a sum of consecutive naturals, for example, 6053663 + ... + 6127683.

It is an arithmetic number, because the mean of its divisors is an integer number (29087870175).

Almost surely, 2450837706133 is an apocalyptic number.

It is an amenable number.

450837706133 is a deficient number, since it is larger than the sum of its proper divisors (14568216667).

450837706133 is a wasteful number, since it uses less digits than its factorization.

450837706133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75208.

The product of its (nonzero) digits is 1270080, while the sum is 47.

The spelling of 450837706133 in words is "four hundred fifty billion, eight hundred thirty-seven million, seven hundred six thousand, one hundred thirty-three".

Divisors: 1 41 149 997 6109 40877 74021 148553 3034861 6090673 11029129 73798937 452194289 3025756417 10996041613 450837706133