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77000000077 = 72112131952579
BaseRepresentation
bin100011110110110001…
…1101100001001001101
321100202021002021202201
41013231203230021031
52230144000000302
655212345121501
75364063126100
oct1075543541115
9240667067681
1077000000077
112a723546800
1212b0b189291
137351750630
143a26572737
152009e29c87
hex11ed8ec24d

77000000077 has 72 divisors (see below), whose sum is σ = 111610514400. Its totient is φ = 52468637760.

The previous prime is 77000000059. The next prime is 77000000081.

77000000077 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-77000000077 is a prime.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 76999999991 and 77000000054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77000000027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1438174 + ... + 1490752.

Almost surely, 277000000077 is an apocalyptic number.

77000000077 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

77000000077 is a deficient number, since it is larger than the sum of its proper divisors (34610514323).

77000000077 is a wasteful number, since it uses less digits than its factorization.

77000000077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52647 (or 52629 counting only the distinct ones).

The product of its (nonzero) digits is 2401, while the sum is 28.

It can be divided in two parts, 770000000 and 77, that added together give a palindrome (770000077).

The spelling of 77000000077 in words is "seventy-seven billion, seventy-seven", and thus it is an aban number and an uban number.

Divisors: 1 7 11 13 19 49 77 91 121 133 143 209 247 539 637 847 931 1001 1463 1573 1729 2299 2717 5929 7007 10241 11011 12103 16093 19019 29887 52579 77077 112651 133133 209209 368053 578369 683527 999001 1464463 2576371 4048583 4784689 6362059 6993007 7518797 10989011 12987013 28340081 33492823 44534413 48951049 52631579 76923077 82706767 90909091 120879121 142857143 311740891 368421053 538461539 578947369 636363637 846153847 1000000001 1571428573 4052631583 5923076929 7000000007 11000000011 77000000077