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86390202604689 = 34191254072
BaseRepresentation
bin10011101001001001001001…
…010101101001110010010001
3102022212211012202102200210000
4103221021021111221302101
542310404113331322224
6503423040003400213
724124325520054024
oct2351111125516221
9368784182380700
1086390202604689
1125587974200875
129833000083069
13392873aacc8c9
1417494456831bb
159ec31a0cd0c9
hex4e9249569c91

86390202604689 has 45 divisors (see below), whose sum is σ = 129755231286681. Its totient is φ = 57281336037720.

The previous prime is 86390202604631. The next prime is 86390202604759. The reversal of 86390202604689 is 98640620209368.

The square root of 86390202604689 is 9294633.

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

86390202604689 is a `hidden beast` number, since 8 + 6 + 3 + 90 + 20 + 2 + 60 + 468 + 9 = 666.

It is not a de Polignac number, because 86390202604689 - 221 = 86390200507537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86390202604609) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15977471424 + ... + 15977476830.

Almost surely, 286390202604689 is an apocalyptic number.

86390202604689 is the 9294633-rd square number.

86390202604689 is the 4647317-th centered octagonal number.

It is an amenable number.

86390202604689 is a deficient number, since it is larger than the sum of its proper divisors (43365028681992).

86390202604689 is an frugal number, since it uses more digits than its factorization.

86390202604689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11208 (or 5601 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 86390202604689 in words is "eighty-six trillion, three hundred ninety billion, two hundred two million, six hundred four thousand, six hundred eighty-nine".

Divisors: 1 3 9 27 81 191 573 1719 5157 5407 15471 16221 36481 48663 109443 145989 328329 437967 984987 1032737 2954961 3098211 9294633 27883899 29235649 83651697 87706947 197252767 263120841 591758301 789362523 1775274903 2368087569 5325824709 5584008959 15977474127 16752026877 50256080631 150768241893 452304725679 1066545711169 3199637133507 9598911400521 28796734201563 86390202604689