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8120839968 = 253228197361
BaseRepresentation
bin1111001000000101…
…00010111100100000
3202221221210102011200
413210002202330200
5113112413334333
63421453441200
7405146000163
oct74402427440
922857712150
108120839968
11349800329a
1216a77a0200
139c55a2467
14570761ada
15327e19c13
hex1e40a2f20

8120839968 has 36 divisors (see below), whose sum is σ = 23093639478. Its totient is φ = 2706946560.

The previous prime is 8120839967. The next prime is 8120840003. The reversal of 8120839968 is 8699380218.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7504410384 + 616429584 = 86628^2 + 24828^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (8120839967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14098393 + ... + 14098968.

Almost surely, 28120839968 is an apocalyptic number.

It is an amenable number.

8120839968 is an abundant number, since it is smaller than the sum of its proper divisors (14972799510).

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

8120839968 is a wasteful number, since it uses less digits than its factorization.

8120839968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28197377 (or 28197366 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 8120839968 is about 90115.7032264633. The cubic root of 8120839968 is about 2010.0197161503.

The spelling of 8120839968 in words is "eight billion, one hundred twenty million, eight hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 28197361 56394722 84592083 112789444 169184166 225578888 253776249 338368332 451157776 507552498 676736664 902315552 1015104996 1353473328 2030209992 2706946656 4060419984 8120839968