Search a number
-
+
86169254116 = 2211412132
BaseRepresentation
bin101000001000000010…
…1100111100011100100
322020102021122122200011
41100100011213203210
52402433312112431
6103330254100004
76140232401131
oct1202005474344
9266367578604
1086169254116
11335a9330000
1214849aaa604
1381832b153a
144256245588
152394ddacb1
hex14101678e4

86169254116 has 45 divisors (see below), whose sum is σ = 166011644505. Its totient is φ = 39135552720.

The previous prime is 86169254113. The next prime is 86169254137. The reversal of 86169254116 is 61145296168.

It is a happy number.

The square root of 86169254116 is 293546.

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

It can be written as a sum of positive squares in only one way, i.e., 3515304100 + 82653950016 = 59290^2 + 287496^2 .

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 86169254116.

It is not an unprimeable number, because it can be changed into a prime (86169254113) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 71037526 + ... + 71038738.

Almost surely, 286169254116 is an apocalyptic number.

86169254116 is the 293546-th square number.

It is an amenable number.

86169254116 is a deficient number, since it is larger than the sum of its proper divisors (79842390389).

86169254116 is an frugal number, since it uses more digits than its factorization.

86169254116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 1226 counting only the distinct ones).

The product of its digits is 622080, while the sum is 49.

Multiplying 86169254116 by its sum of digits (49), we get a square (4222293451684 = 20548222).

The spelling of 86169254116 in words is "eighty-six billion, one hundred sixty-nine million, two hundred fifty-four thousand, one hundred sixteen".

Divisors: 1 2 4 11 22 44 121 242 484 1213 1331 2426 2662 4852 5324 13343 14641 26686 29282 53372 58564 146773 293546 587092 1471369 1614503 2942738 3229006 5885476 6458012 16185059 17759533 32370118 35519066 64740236 71038132 178035649 356071298 712142596 1958392139 3916784278 7833568556 21542313529 43084627058 86169254116