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19821533141538 = 2343497932
BaseRepresentation
bin1001000000111000011110…
…11100010001101000100010
32121011220211201120202020000
410200130033130101220202
510044223444441012123
6110053515302000430
74114026032531112
oct440341734215042
977156751522200
1019821533141538
1163522a0791887
122281667416116
13b0a21619663b
144c751dd11042
1524590c071b43
hex12070f711a22

19821533141538 has 30 divisors (see below), whose sum is σ = 44415043829409. Its totient is φ = 6607158825024.

The previous prime is 19821533141533. The next prime is 19821533141561. The reversal of 19821533141538 is 83514133512891.

It is a happy number.

19821533141538 is a `hidden beast` number, since 1 + 9 + 8 + 21 + 53 + 31 + 4 + 1 + 538 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14268879191889 + 5552653949649 = 3777417^2 + 2356407^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3148137.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (19821533141533) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 56491570 + ... + 56841362.

Almost surely, 219821533141538 is an apocalyptic number.

19821533141538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

19821533141538 is an abundant number, since it is smaller than the sum of its proper divisors (24593510687871).

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

19821533141538 is an frugal number, since it uses more digits than its factorization.

19821533141538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699600 (or 349798 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 19821533141538 in words is "nineteen trillion, eight hundred twenty-one billion, five hundred thirty-three million, one hundred forty-one thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 349793 699586 1049379 2098758 3148137 6296274 9444411 18888822 28333233 56666466 122355142849 244710285698 367065428547 734130857094 1101196285641 2202392571282 3303588856923 6607177713846 9910766570769 19821533141538