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1980540388467 = 3559982716453
BaseRepresentation
bin11100110100100001011…
…010000000010001110011
321000100010021011011100000
4130310201122000101303
5224422121314412332
64113503034001043
7263042431351524
oct34644132002163
97010107134300
101980540388467
116a3a40464703
1227ba12b76183
131149c1b13134
146bc0427484b
15367b9906b7c
hex1cd21680473

1980540388467 has 48 divisors (see below), whose sum is σ = 2975462380800. Its totient is φ = 1316482064352.

The previous prime is 1980540388457. The next prime is 1980540388487. The reversal of 1980540388467 is 7648830450891.

1980540388467 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 540 + 3 + 8 + 84 + 6 + 7 = 666.

It is not a de Polignac number, because 1980540388467 - 26 = 1980540388403 is a prime.

It is a super-2 number, since 2×19805403884672 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1980540388457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120367413 + ... + 120383865.

It is an arithmetic number, because the mean of its divisors is an integer number (61988799600).

Almost surely, 21980540388467 is an apocalyptic number.

1980540388467 is a deficient number, since it is larger than the sum of its proper divisors (994921992333).

1980540388467 is an equidigital number, since it uses as much as digits as its factorization.

1980540388467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17894 (or 17882 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 1980540388467 in words is "one trillion, nine hundred eighty billion, five hundred forty million, three hundred eighty-eight thousand, four hundred sixty-seven".

Divisors: 1 3 9 27 81 243 599 827 1797 2481 5391 7443 16173 16453 22329 48519 49359 66987 145557 148077 200961 444231 495373 1332693 1486119 3998079 4458357 9855347 13375071 13606631 29566041 40125213 40819893 88698123 120375639 122459679 266094369 367379037 798283107 1102137111 2394849321 3306411333 8150371969 24451115907 73353347721 220060043163 660180129489 1980540388467