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1982820914893 = 72137342640393
BaseRepresentation
bin11100110110101001010…
…101100001011011001101
321000120000012100220110201
4130312221111201123031
5224441304123234033
64114521221333501
7263153102455600
oct34665125413315
97016005326421
101982820914893
116a4a00794995
1228034a867291
13114c9642a660
146bd7d0b4337
153689ec2d47d
hex1cda95616cd

1982820914893 has 24 divisors (see below), whose sum is σ = 2518000546488. Its totient is φ = 1547334544896.

The previous prime is 1982820914891. The next prime is 1982820914923. The reversal of 1982820914893 is 3984190282891.

It can be written as a sum of positive squares in 4 ways, for example, as 5653084969 + 1977167829924 = 75187^2 + 1406118^2 .

It is not a de Polignac number, because 1982820914893 - 21 = 1982820914891 is a prime.

It is a super-2 number, since 2×19828209148932 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982820914891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21273696 + ... + 21366697.

It is an arithmetic number, because the mean of its divisors is an integer number (104916689437).

Almost surely, 21982820914893 is an apocalyptic number.

1982820914893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1982820914893 is a deficient number, since it is larger than the sum of its proper divisors (535179631595).

1982820914893 is a wasteful number, since it uses less digits than its factorization.

1982820914893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42640493 (or 42640486 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 64.

The spelling of 1982820914893 in words is "one trillion, nine hundred eighty-two billion, eight hundred twenty million, nine hundred fourteen thousand, eight hundred ninety-three".

Divisors: 1 7 13 49 73 91 511 637 949 3577 6643 46501 42640393 298482751 554325109 2089379257 3112748689 3880275763 21789240823 27161930341 40465732957 152524685761 283260130699 1982820914893