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820020734337 = 37259191506563
BaseRepresentation
bin10111110111011010000…
…10110110100110000001
32220101121122200102101210
423323231002312212001
5101413400301444322
61424413510120333
7113146610143620
oct13735502664601
92811548612353
10820020734337
11296850365832
12112b133500a9
135c434a33a3c
142b9912c76b7
15164e5ca670c
hexbeed0b6981

820020734337 has 16 divisors (see below), whose sum is σ = 1249604444160. Its totient is φ = 468564886992.

The previous prime is 820020734333. The next prime is 820020734339. The reversal of 820020734337 is 733437020028.

It is not a de Polignac number, because 820020734337 - 22 = 820020734333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 820020734295 and 820020734304.

It is not an unprimeable number, because it can be changed into a prime (820020734333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208983 + ... + 1297580.

It is an arithmetic number, because the mean of its divisors is an integer number (78100277760).

Almost surely, 2820020734337 is an apocalyptic number.

It is an amenable number.

820020734337 is a deficient number, since it is larger than the sum of its proper divisors (429583709823).

820020734337 is a wasteful number, since it uses less digits than its factorization.

820020734337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532492.

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 820020734337 in words is "eight hundred twenty billion, twenty million, seven hundred thirty-four thousand, three hundred thirty-seven".

Divisors: 1 3 7 21 25919 77757 181433 544299 1506563 4519689 10545941 31637823 39048606397 117145819191 273340244779 820020734337