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2006146336 = 25173687769
BaseRepresentation
bin111011110010011…
…0101110100100000
312011210220210102011
41313210311310200
513102033140321
6531022402304
7100466651065
oct16744656440
95153823364
102006146336
1193a465487
1247ba30394
1325c819b4c
14150618c6c
15bb1c8ae1
hex77935d20

2006146336 has 24 divisors (see below), whose sum is σ = 4181931180. Its totient is φ = 944068608.

The previous prime is 2006146313. The next prime is 2006146357. The reversal of 2006146336 is 6336416002.

It can be written as a sum of positive squares in 2 ways, for example, as 1508856336 + 497290000 = 38844^2 + 22300^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2006146298 and 2006146307.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1843341 + ... + 1844428.

Almost surely, 22006146336 is an apocalyptic number.

It is an amenable number.

2006146336 is an abundant number, since it is smaller than the sum of its proper divisors (2175784844).

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

2006146336 is a wasteful number, since it uses less digits than its factorization.

2006146336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687796 (or 3687788 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 2006146336 is about 44790.0249609218. The cubic root of 2006146336 is about 1261.2103797041.

The spelling of 2006146336 in words is "two billion, six million, one hundred forty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 3687769 7375538 14751076 29502152 59004304 62692073 118008608 125384146 250768292 501536584 1003073168 2006146336