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86677077668 = 2259369364993
BaseRepresentation
bin101000010111001011…
…0110011111010100100
322021201200012202121212
41100232112303322210
52410003312441133
6103452514330552
76155640001226
oct1205626637244
9267650182555
1086677077668
1133839a50395
121496bb89a58
13823457564c
1442a3876416
1523c479c148
hex142e5b3ea4

86677077668 has 12 divisors (see below), whose sum is σ = 151687856460. Its totient is φ = 43337690112.

The previous prime is 86677077667. The next prime is 86677077701.

86677077668 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 8034971044 + 78642106624 = 89638^2 + 280432^2 .

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 86677077598 and 86677077607.

It is not an unprimeable number, because it can be changed into a prime (86677077667) 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 3 ways as a sum of consecutive naturals, for example, 54980 + ... + 419972.

It is an arithmetic number, because the mean of its divisors is an integer number (12640654705).

Almost surely, 286677077668 is an apocalyptic number.

It is an amenable number.

86677077668 is a deficient number, since it is larger than the sum of its proper divisors (65010778792).

86677077668 is a wasteful number, since it uses less digits than its factorization.

86677077668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424366 (or 424364 counting only the distinct ones).

The product of its (nonzero) digits is 199148544, while the sum is 68.

The spelling of 86677077668 in words is "eighty-six billion, six hundred seventy-seven million, seventy-seven thousand, six hundred sixty-eight".

Divisors: 1 2 4 59369 118738 237476 364993 729986 1459972 21669269417 43338538834 86677077668