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2006268200608 = 25721279507781
BaseRepresentation
bin11101001100011110111…
…001110100011010100000
321002210112021120102201011
4131030132321310122200
5230332314124404413
64133400014150304
7264643124221300
oct35143671643240
97083467512634
102006268200608
11703943106771
122849b31b2394
13117262075c09
146d165155600
15372c344233d
hex1d31ee746a0

2006268200608 has 36 divisors (see below), whose sum is σ = 4594712445162. Its totient is φ = 859829228160.

The previous prime is 2006268200569. The next prime is 2006268200659. The reversal of 2006268200608 is 8060028626002.

It can be written as a sum of positive squares in only one way, i.e., 1996942049424 + 9326151184 = 1413132^2 + 96572^2 .

It is a super-2 number, since 2×20062682006082 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 639752323 + ... + 639755458.

Almost surely, 22006268200608 is an apocalyptic number.

2006268200608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2006268200608 is an abundant number, since it is smaller than the sum of its proper divisors (2588444244554).

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

2006268200608 is a wasteful number, since it uses less digits than its factorization.

2006268200608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279507805 (or 1279507790 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 2006268200608 in words is "two trillion, six billion, two hundred sixty-eight million, two hundred thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 1279507781 2559015562 5118031124 8956554467 10236062248 17913108934 20472124496 35826217868 40944248992 62695881269 71652435736 125391762538 143304871472 250783525076 286609742944 501567050152 1003134100304 2006268200608