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20082335744 = 2132984533
BaseRepresentation
bin10010101101000000…
…000010000000000000
31220211120110100122202
4102231000002000000
5312112034220434
613120430052332
71310442015542
oct225500020000
956746410582
1020082335744
118575a56099
123a8564a0a8
131b80775203
14d871d9692
157c80d1a7e
hex4ad002000

20082335744 has 56 divisors (see below), whose sum is σ = 41547615660. Its totient is φ = 9694806016.

The previous prime is 20082335743. The next prime is 20082335753. The reversal of 20082335744 is 44753328002.

It can be written as a sum of positive squares in 2 ways, for example, as 19234361344 + 847974400 = 138688^2 + 29120^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20082335698 and 20082335707.

It is not an unprimeable number, because it can be changed into a prime (20082335743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 195302 + ... + 279834.

Almost surely, 220082335744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20082335744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20773807830).

20082335744 is an abundant number, since it is smaller than the sum of its proper divisors (21465279916).

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

20082335744 is an frugal number, since it uses more digits than its factorization.

20082335744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84588 (or 84564 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 20082335744 in words is "twenty billion, eighty-two million, three hundred thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 2048 3712 4096 7424 8192 14848 29696 59392 84533 118784 169066 237568 338132 676264 1352528 2451457 2705056 4902914 5410112 9805828 10820224 19611656 21640448 39223312 43280896 78446624 86561792 156893248 173123584 313786496 346247168 627572992 692494336 1255145984 2510291968 5020583936 10041167872 20082335744