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1005638117 = 11163560869
BaseRepresentation
bin111011111100001…
…101000111100101
32121002021201011012
4323330031013211
54024420404432
6243442152005
733630532361
oct7374150745
92532251135
101005638117
11476724890
12240952605
13130462553
14977b82a1
155d446cb2
hex3bf0d1e5

1005638117 has 8 divisors (see below), whose sum is σ = 1103792160. Its totient is φ = 908606160.

The previous prime is 1005638089. The next prime is 1005638219. The reversal of 1005638117 is 7118365001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-1005638117 is a prime.

It is a super-2 number, since 2×10056381172 = 2022616044726611378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005658117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278642 + ... + 282227.

It is an arithmetic number, because the mean of its divisors is an integer number (137974020).

Almost surely, 21005638117 is an apocalyptic number.

It is an amenable number.

1005638117 is a deficient number, since it is larger than the sum of its proper divisors (98154043).

1005638117 is a wasteful number, since it uses less digits than its factorization.

1005638117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561043.

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 1005638117 is about 31711.7977573016. The cubic root of 1005638117 is about 1001.8758513149.

The spelling of 1005638117 in words is "one billion, five million, six hundred thirty-eight thousand, one hundred seventeen".

Divisors: 1 11 163 1793 560869 6169559 91421647 1005638117