Search a number
-
+
190314147085695 = 3352417958304083
BaseRepresentation
bin101011010001011011110111…
…001000011111110101111111
3220221211212002010120020201000
4223101123313020133311333
5144421101333123220240
61512433040122421343
755041512660052423
oct5321336710376577
9827755063506630
10190314147085695
115570485a606496
12194181a6961853
138226715b8c6a9
1434dd37a87ab83
1517007937e4430
hexad16f721fd7f

190314147085695 has 32 divisors (see below), whose sum is σ = 338350260268800. Its totient is φ = 101496678810912.

The previous prime is 190314147085687. The next prime is 190314147085747. The reversal of 190314147085695 is 596580741413091.

190314147085695 is a `hidden beast` number, since 1 + 9 + 0 + 31 + 41 + 470 + 8 + 5 + 6 + 95 = 666.

It is not a de Polignac number, because 190314147085695 - 23 = 190314147085687 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25887877 + ... + 32416206.

It is an arithmetic number, because the mean of its divisors is an integer number (10573445633400).

Almost surely, 2190314147085695 is an apocalyptic number.

190314147085695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

190314147085695 is a deficient number, since it is larger than the sum of its proper divisors (148036113183105).

190314147085695 is a wasteful number, since it uses less digits than its factorization.

190314147085695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58328276 (or 58328270 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 190314147085695 in words is "one hundred ninety trillion, three hundred fourteen billion, one hundred forty-seven million, eighty-five thousand, six hundred ninety-five".

Divisors: 1 3 5 9 15 27 45 135 24179 72537 120895 217611 362685 652833 1088055 3264165 58304083 174912249 291520415 524736747 874561245 1574210241 2623683735 7871051205 1409734422857 4229203268571 7048672114285 12687609805713 21146016342855 38062829417139 63438049028565 190314147085695