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86714936676 = 223217228872
BaseRepresentation
bin101000011000010011…
…1001110110101100100
322021211022110012102100
41100300213032311210
52410043010433201
6103500350012100
76156606541314
oct1206047166544
9267738405370
1086714936676
1133859359425
12149807a7030
13823c36c824
1442a88cd444
1523c7c79886
hex14309ced64

86714936676 has 81 divisors (see below), whose sum is σ = 232929123609. Its totient is φ = 27195262848.

The previous prime is 86714936663. The next prime is 86714936677. The reversal of 86714936676 is 67663941768.

The square root of 86714936676 is 294474.

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

86714936676 is a `hidden beast` number, since 8 + 6 + 71 + 493 + 6 + 6 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67511628900 + 19203307776 = 259830^2 + 138576^2 .

It is not an unprimeable number, because it can be changed into a prime (86714936677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30034905 + ... + 30037791.

Almost surely, 286714936676 is an apocalyptic number.

86714936676 is the 294474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86714936676

86714936676 is an abundant number, since it is smaller than the sum of its proper divisors (146214186933).

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

86714936676 is a wasteful number, since it uses less digits than its factorization.

86714936676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818 (or 2909 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 86714936676 in words is "eighty-six billion, seven hundred fourteen million, nine hundred thirty-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 2887 3468 5202 5774 8661 10404 11548 17322 25983 34644 49079 51966 98158 103932 147237 196316 294474 441711 588948 834343 883422 1668686 1766844 2503029 3337372 5006058 7509087 8334769 10012116 15018174 16669538 25004307 30036348 33339076 50008614 75012921 100017228 141691073 150025842 283382146 300051684 425073219 566764292 850146438 1275219657 1700292876 2408748241 2550439314 4817496482 5100878628 7226244723 9634992964 14452489446 21678734169 28904978892 43357468338 86714936676