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1005188868 = 223227921913
BaseRepresentation
bin111011111010011…
…111011100000100
32121001102212220100
4323322133130010
54024312020433
6243424404100
733623651535
oct7372373404
92531385810
101005188868
11476448302
12240776630
13130335c18
14976dc68c
155d3a8b13
hex3be9f704

1005188868 has 18 divisors (see below), whose sum is σ = 2540894174. Its totient is φ = 335062944.

The previous prime is 1005188839. The next prime is 1005188881. The reversal of 1005188868 is 8688815001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 681836544 + 323352324 = 26112^2 + 17982^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×10051888682 = 2020809320702242848, which 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, 13960921 + ... + 13960992.

Almost surely, 21005188868 is an apocalyptic number.

1005188868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1005188868 is an abundant number, since it is smaller than the sum of its proper divisors (1535705306).

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

1005188868 is a wasteful number, since it uses less digits than its factorization.

1005188868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27921923 (or 27921918 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The square root of 1005188868 is about 31704.7136558588. The cubic root of 1005188868 is about 1001.7266396663.

The spelling of 1005188868 in words is "one billion, five million, one hundred eighty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 27921913 55843826 83765739 111687652 167531478 251297217 335062956 502594434 1005188868