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1641333807945 = 3651334638257
BaseRepresentation
bin10111111000100111000…
…111100101101101001001
312210220120101010111000000
4113320213013211231021
5203342422423323240
63254003543433213
7226403532113526
oct27704707455511
95726511114000
101641333807945
115830a4166147
12226127455809
13bba1441c870
145962609a14d
152ca65238430
hex17e271e5b49

1641333807945 has 56 divisors (see below), whose sum is σ = 3180207743496. Its totient is φ = 808041235968.

The previous prime is 1641333807937. The next prime is 1641333807947. The reversal of 1641333807945 is 5497083331461.

1641333807945 is a `hidden beast` number, since 1 + 64 + 133 + 380 + 79 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35629205049 + 1605704602896 = 188757^2 + 1267164^2 .

It is not a de Polignac number, because 1641333807945 - 23 = 1641333807937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1641333807891 and 1641333807900.

It is not an unprimeable number, because it can be changed into a prime (1641333807947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17271744 + ... + 17366513.

It is an arithmetic number, because the mean of its divisors is an integer number (56789423991).

Almost surely, 21641333807945 is an apocalyptic number.

1641333807945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1641333807945 is a deficient number, since it is larger than the sum of its proper divisors (1538873935551).

1641333807945 is an equidigital number, since it uses as much as digits as its factorization.

1641333807945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34638293 (or 34638278 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 1641333807945 in words is "one trillion, six hundred forty-one billion, three hundred thirty-three million, eight hundred seven thousand, nine hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 243 351 405 585 729 1053 1215 1755 3159 3645 5265 9477 15795 47385 34638257 103914771 173191285 311744313 450297341 519573855 935232939 1350892023 1558721565 2251486705 2805698817 4052676069 4676164695 6754460115 8417096451 12158028207 14028494085 20263380345 25251289353 36474084621 42085482255 60790141035 109422253863 126256446765 182370423105 328266761589 547111269315 1641333807945