Search a number
-
+
86194202688 = 26321122759929
BaseRepresentation
bin101000001000110010…
…0110010100001000000
322020111000121011200100
41100101210302201000
52403011203441223
6103332544522400
76140654430366
oct1202144624100
9266430534610
1086194202688
1133611420260
1214856320400
1381885081c9
14425969b636
1523971b8043
hex1411932840

86194202688 has 168 divisors, whose sum is σ = 270711960480. Its totient is φ = 26003957760.

The previous prime is 86194202659. The next prime is 86194202701. The reversal of 86194202688 is 88620249168.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1408308 + ... + 1468236.

Almost surely, 286194202688 is an apocalyptic number.

86194202688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86194202688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135355980240).

86194202688 is an abundant number, since it is smaller than the sum of its proper divisors (184517757792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86194202688 is a wasteful number, since it uses less digits than its factorization.

86194202688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60185 (or 60172 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

It can be divided in two parts, 86194 and 202688, that added together give a palindrome (288882).

The spelling of 86194202688 in words is "eighty-six billion, one hundred ninety-four million, two hundred two thousand, six hundred eighty-eight".