Search a number
-
+
86656196362761 = 3231029772
BaseRepresentation
bin10011101101000000110111…
…110011010100001000001001
3102100211020210022121122101100
4103231000313303110020021
542324233342232102021
6504145150153012013
724152463220516044
oct2355006763241011
9370736708548340
1086656196362761
112567a7607a71a3
1298766749b4009
13394784b56a86c
14175827a27dc5b
15a041d70a8626
hex4ed037cd4209

86656196362761 has 9 divisors (see below), whose sum is σ = 125170101751591. Its totient is φ = 57770778957312.

The previous prime is 86656196362751. The next prime is 86656196362807. The reversal of 86656196362761 is 16726369165668.

The square root of 86656196362761 is 9308931.

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

86656196362761 is a `hidden beast` number, since 8 + 6 + 6 + 5 + 6 + 196 + 362 + 76 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9705686006025 + 76950510356736 = 3115395^2 + 8772144^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 86656196362761 - 225 = 86656162808329 is a prime.

It is a super-2 number, since 2×866561963627612 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86656196362761.

It is not an unprimeable number, because it can be changed into a prime (86656196362751) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26375305 + ... + 29478281.

Almost surely, 286656196362761 is an apocalyptic number.

86656196362761 is the 9308931-st square number.

86656196362761 is the 4654466-th centered octagonal number.

It is an amenable number.

86656196362761 is a deficient number, since it is larger than the sum of its proper divisors (38513905388830).

86656196362761 is an frugal number, since it uses more digits than its factorization.

86656196362761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6205960 (or 3102980 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 86656196362761 in words is "eighty-six trillion, six hundred fifty-six billion, one hundred ninety-six million, three hundred sixty-two thousand, seven hundred sixty-one".

Divisors: 1 3 9 3102977 9308931 27926793 9628466262529 28885398787587 86656196362761