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2006036144 = 247101177337
BaseRepresentation
bin111011110010001…
…1010111010110000
312011210201012020222
41313210122322300
513102021124034
6531020152212
7100466011610
oct16744327260
95153635228
102006036144
1193a39a712
1247b998668
1325c7ab948
141505caa40
15bb1a612e
hex7791aeb0

2006036144 has 40 divisors (see below), whose sum is σ = 4485942048. Its totient is φ = 851212800.

The previous prime is 2006036099. The next prime is 2006036209. The reversal of 2006036144 is 4416306002.

It is a super-2 number, since 2×20060361442 = 8048362022068777472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77357 + ... + 99980.

Almost surely, 22006036144 is an apocalyptic number.

It is an amenable number.

2006036144 is an abundant number, since it is smaller than the sum of its proper divisors (2479905904).

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

2006036144 is a wasteful number, since it uses less digits than its factorization.

2006036144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177453 (or 177447 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 2006036144 is about 44788.7948487119. The cubic root of 2006036144 is about 1261.1872876966.

The spelling of 2006036144 in words is "two billion, six million, thirty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 101 112 202 404 707 808 1414 1616 2828 5656 11312 177337 354674 709348 1241359 1418696 2482718 2837392 4965436 9930872 17911037 19861744 35822074 71644148 125377259 143288296 250754518 286576592 501509036 1003018072 2006036144