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2826138627 = 33138051677
BaseRepresentation
bin1010100001110011…
…0111010000000011
321021221212201101000
42220130313100003
521241442414002
61144233543043
7130014532134
oct25034672003
97257781330
102826138627
111220310864
1266a574a83
1336067c7a0
141cb4a9c8b
1511819e61c
hexa8737403

2826138627 has 16 divisors (see below), whose sum is σ = 4508939680. Its totient is φ = 1739162016.

The previous prime is 2826138619. The next prime is 2826138643. The reversal of 2826138627 is 7268316282.

2826138627 is a `hidden beast` number, since 2 + 8 + 2 + 6 + 13 + 8 + 627 = 666.

It is not a de Polignac number, because 2826138627 - 23 = 2826138619 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2826138647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4025488 + ... + 4026189.

It is an arithmetic number, because the mean of its divisors is an integer number (281808730).

Almost surely, 22826138627 is an apocalyptic number.

2826138627 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2826138627 is a deficient number, since it is larger than the sum of its proper divisors (1682801053).

2826138627 is a wasteful number, since it uses less digits than its factorization.

2826138627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8051699 (or 8051693 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2826138627 is about 53161.4392863850. The cubic root of 2826138627 is about 1413.8320431670.

The spelling of 2826138627 in words is "two billion, eight hundred twenty-six million, one hundred thirty-eight thousand, six hundred twenty-seven".

Divisors: 1 3 9 13 27 39 117 351 8051677 24155031 72465093 104671801 217395279 314015403 942046209 2826138627