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27947814976 = 26208972
BaseRepresentation
bin11010000001110100…
…011101000001000000
32200010201202002202101
4122001310131001000
5424214120034401
620501122400144
72006400336064
oct320164350100
980121662671
1027947814976
11109418a4054
1254bb800054
132835178c33
1414d1a87aa4
15ad88a9101
hex681d1d040

27947814976 has 21 divisors (see below), whose sum is σ = 55461599389. Its totient is φ = 13973238784.

The previous prime is 27947814959. The next prime is 27947814991. The reversal of 27947814976 is 67941874972.

It is a happy number.

The square root of 27947814976 is 167176.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16579137600 + 11368677376 = 128760^2 + 106624^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1326960 + ... + 1347856.

Almost surely, 227947814976 is an apocalyptic number.

27947814976 is the 167176-th square number.

It is an amenable number.

27947814976 is a deficient number, since it is larger than the sum of its proper divisors (27513784413).

27947814976 is an frugal number, since it uses more digits than its factorization.

27947814976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41806 (or 20899 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 64.

Multiplying 27947814976 by its sum of digits (64), we get a square (1788660158464 = 13374082).

27947814976 divided by its sum of digits (64) gives a square (436684609 = 208972).

The spelling of 27947814976 in words is "twenty-seven billion, nine hundred forty-seven million, eight hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 20897 41794 83588 167176 334352 668704 1337408 436684609 873369218 1746738436 3493476872 6986953744 13973907488 27947814976