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68956000801 = 1372118592777
BaseRepresentation
bin100000000111000011…
…0010001001000100001
320120222122212210012121
41000032012101020201
52112210214011201
651402234224241
74660536223132
oct1001606211041
9216878783177
1068956000801
1127275957016
1211445285081
13666c07354c
1434a20d3c89
151bd8b3c9a1
hex100e191221

68956000801 has 16 divisors (see below), whose sum is σ = 69894924480. Its totient is φ = 68024436480.

The previous prime is 68956000783. The next prime is 68956000829. The reversal of 68956000801 is 10800065986.

It is a cyclic number.

It is not a de Polignac number, because 68956000801 - 25 = 68956000769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68956000871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24829725 + ... + 24832501.

It is an arithmetic number, because the mean of its divisors is an integer number (4368432780).

Almost surely, 268956000801 is an apocalyptic number.

68956000801 is the 166080-th centered pentagonal number.

It is an amenable number.

68956000801 is a deficient number, since it is larger than the sum of its proper divisors (938923679).

68956000801 is a wasteful number, since it uses less digits than its factorization.

68956000801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984.

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 68956000801 in words is "sixty-eight billion, nine hundred fifty-six million, eight hundred one", and thus it is an aban number.

Divisors: 1 137 211 859 2777 28907 117683 181249 380449 585947 2385443 24831113 80274739 326805691 503328473 68956000801